Go Math Grade 6 Chapter 3 Review Test Answers Help

The solutions of Get Math Class 8 Respond Cardinal Chapter 6 Functions are provided in the pdf format here. HMH Become Math Course 8 Answer Key Chapter 6 Functions are presented past the professional person math experts in an easy manner and with brief explanations. You can find different means of solving the problems on this page. So, nosotros suggest the students to refer to Become Math Grade 8 Answer Fundamental Affiliate half-dozen Functions now to begin your do.

Get Math Grade 8 Chapter six Functions Answer Central

Test and meliorate your knowledge by using Go Math Grade 8 Chapter 6 Functions Solution Key. The Become Math Grade 8 Chapter 6 Functions Answer Key consists of the topics similar Identifying and representing functions, describing functions, analyzing graphs, etc. Use HMH Go Math Grade eight Answer Key for the best practise of maths. After completion of your preparation examination yourself by solving the problems given in the model quiz.

Lesson 1: Identifying and Representing Functions

• Identifying and Representing Functions – Page No. 158
• Identifying and Representing Functions – Page No. 159
• Identifying and Representing Functions – Page No. 160

Lesson 2: Describing Functions

• Describing Functions – Folio No. 164
• Describing Functions – Page No. 165
• Describing Functions – Page No. 166

Lesson 3: Comparison Functions

• Comparing Functions – Page No. 170
• Comparing Functions – Page No. 171
• Comparing Functions – Page No. 172

Lesson 4: Analyzing Graphs

• Analyzing Graphs – Page No. 176
• Analyzing Graphs – Page No. 177
• Analyzing Graphs – Folio No. 178

Model Quiz

• Model Quiz – Page No. 179

Mixed Review

• Mixed Review – Page No. 180

Guided Practice – Identifying and Representing Functions – Page No. 158

Consummate each table. In the row with x as the input, write a rule as an algebraic expression for the output. Then complete the concluding row of the table using the rule.

Question 1.

Blazon beneath:
_______________

Answer:

Caption:
Unit of measurement Price of ticket = 40/two = twenty
Full price = 20x where x is the number of tickets.
x = 20x
x = 20(100) = 200

Question 2.

Blazon below:
_______________

Answer:

Explanation:
Number of pages per infinitesimal = 1/2 = 0.five
Total cost = 0.5x where 10 is the number of minutes.
x = 0.5x
30 = 0.five(30) = 15

Question 3.

Type below:
_______________

Answer:

Explanation:
Units cost of Muffins = 2.25/1 = 2.25
Full cost = 2.25x where x is the number of muffins
x = two.25x
12 = 2.25(12) = 27

Determine whether each relationship is a function.

Question 4.

_______________

Answer:
Function

Caption:
Each input is assigned to exactly one output.

Question 5.

_______________

Answer:
Not a function

Caption:
The input value is 4 is paired with 2 outputs 25 and 35

Question 6.
The graph shows the human relationship between the weights of v packages and the shipping charge for each packet. Is the relationship represented by the graph a role? Explain.

_______________

Answer:
Part

Explanation:
Each input is assigned to exactly i output.

Essential Question Bank check-In

Question 7.
What are iv different ways of representing functions? How can you tell if a human relationship is a function?
Type beneath:
_______________

Reply:
The function can exist represented by an equation, table, graph, and Venn diagram.
If a relationship is a function, each input is paired with exactly one output.

Independent Practice – Identifying and Representing Functions – Page No. 159

Determine whether each human relationship represented by the ordered pairs is a office. Explain.

Question viii.
(two, ii), (3, ane), (5, 7), (eight, 0), (nine, one)
_______________

Answer:
Function

Explanation:
Each input value is paired with exactly 1 output value.

Question 9.
(0, 4), (5, one), (2, 8), (6, 3), (5, 9)
_______________

Reply:
Not a function

Explanation:
The input value is 5 is paired with two outputs 1 and 9

Question 10.
Draw Conclusions
Joaquin receives $0.40 per pound for 1 to 99 pounds of aluminum cans he recycles. He receives $0.fifty per pound if he recycles more than 100 pounds. Is the amount of money Joaquin receives a function of the weight of the cans he recycles? Explain your reasoning.
_______________

Reply:
Yes

Explanation:
The amount of money increases with the weight of the cans. No weight will result in the same corporeality of money earned.

Question eleven.
A biologist tracked the growth of a strain of leaner, equally shown in the graph.

a. Explain why the relationship represented by the graph is a role.
Blazon below:
_______________

Answer:
The relationship is a part as each input has been assigned exactly one output. In that location is only one number of bacteria for each number of hours.

Question 11.
b. What If?
Suppose there was the same number of bacteria for ii consecutive hours. Would the graph still represent a function? Explain.
Type below:
_______________

Answer:
Yes. If the number of bacteria for two consecutive hours is the same, ane input will even so exist paired with 1 output, hence the relationship is still a function.

Question 12.
Multiple Representations
Requite an instance of a role in everyday life, and represent information technology every bit a graph, a table, and a set of ordered pairs. Describe how you know it is a function.

Type below:
_______________

Answer:
The cost of a bouquet of flowers and the number of flowers in the boutonniere is a role. The unit price of flowers = $0.85 and ten the number of flowers. Hence, C= 0.85x


(2, 1.7), (4, three.4), (half-dozen, 5.1), (viii, 6.viii), (10, 8.five)
Each value of the input is paired with exactly one output.

Identifying and Representing Functions – Page No. 160

The graph shows the human relationship between the weights of six wedges of cheese and the price of each wedge.

Question 13.
Is the relationship represented past the graph a part? Justify your reasoning. Use the words "input" and "output" in your explanation, and connect them to the context represented past the graph.
_______________

Answer:
Yes, the relationship represented past the graph is a office.
Each input (weight) in the graph is paired with exactly one output(cost).

Question 14.
Analyze Relationships
Suppose the weights and prices of additional wedges of cheese were plotted on the graph. Might that change your answer to question xiii? Explicate your reasoning.
Type below:
_______________

Answer:
No. Equally the weight of the cheese will increase, the price of wedges of cheese volition increase equally well. Hence, for each input (weight), there would be exactly one output (toll).

H.O.T.

Focus on Higher Order Thinking

Question 15.
Justify Reasoning
A mapping diagram represents a relationship that contains three dissimilar input values and four different output values. Is the relationship a office? Explain your reasoning.
_______________

Answer:
No. Since at that place are 3 inputs and four outputs, ane of the inputs volition take more than than 1 output, hence the human relationship cannot exist a function.

Question 16.
Communicate Mathematical Ideas
An onion farmer is hiring workers to help harvest the onions. He knows that the number of days it will take to harvest the onions is a function of the number of workers he hires. Explain the use of the word "part" in this context.
Type below:
_______________

Reply:
Number of days = f(number of workers)

Explanation:
We know that the more the number of workers will be involved in the harvesting of onion, the lesser days it will take to complete.
Thus the number of workers becomes the independent variable and the number of days becomes the dependent variable.
Here the word function is used to depict that the number of days is dependent on the number of workers.
Number of days = f(number of workers)

Guided Practice – Describing Functions – Page No. 164

Plot the ordered pairs from the table. So graph the office represented by the ordered pairs and tell whether the role is linear or nonlinear.

Question 1.
y = 5 − 2x

_______________

Respond:


Graph of a linear function is a direct line
Linear relationship

Caption:
Given y = 5 – 2x
y = v – 2(-ane) = 5 + 2 = 7
y = v – two(1) = 5 – two = three
y = 5 – 2(3) = 5 – half dozen = -1
y = 5 – two(five) = 5 – 10 = -5

Question 2.
y = 2 − tenⁱⁱ

_______________

Answer:
y = two − x²

Graph the ordered pairs. So draw a line through the points to correspond the solution.

Graph of a linear function is non a directly line
Non-linear relationship

Caption:
y = 2 − x²
y = ii – 4 = -2
y = two – 1 = 1
y = ii – 0 = 2
y = 2 – 1 = 1
y = 2 – iv = -2

Explain whether each equation is a linear equation.

Question 3.
y = x² – one
_______________

Answer:
The equation is non in the form of a linear equation, hence is not a linear equation.

Explanation:
Compare the equation with the full general linear equation y = mx + b.
The equation is not in the form of a linear equation, hence is not a linear equation.

Question 4.
y = 1 – x
_______________

Answer:
The equation is in the grade of a linear equation, hence is a linear equation.

Explanation:
Compare the equation with the full general linear equation y = mx + b.
The equation is in the form of a linear equation, hence is a linear equation.

Essential Question Cheque-In

Question 5.
Explain how y'all can use a table of values, an equation, and a graph to determine whether a function represents a proportional human relationship.
Type below:
_______________

Answer:
From a table, determine the ratio y/x. If information technology is abiding the relationship is proportional.
From a graph, notation if the graph passes through the origin. The graph of a proportional relationship must laissez passer through the origin (0, 0).
From an equation, compare with general linear course of equation, y = mx + b. If b = 0, the relationship is proportional.

Independent Do – Describing Functions – Page No. 165

Question 6.
Land whether the human relationship between x and y in y = 4x – 5 is proportional or nonproportional. Then graph the office.

_______________

Answer:

Explanation:
First, we compare the equation with the general linear equation y = mx + b. y = 4x – 5 is in the form of y = mx + b, with one thousand = iv and b = -5. Therefore, the equation is a linear equation. Since b is not equal to 0, the human relationship is not-proportional.
So, we choose several values for the input x. We substitute these values of 10 in the equation to notice the output y.
y = 4x – 5
If x = 0; y = 4(0) – 5 = -5; (0, -5)
If x = ii; y = 4(ii) – 5 = 3; (two, iii)
If x = four; y = 4(4) – v = 11; (iv, 11)
If 10 = half dozen; y = 4(6) – v = 19; (six, xix)
We graph the ordered pairs and nosotros draw a line through the points to represent the solutions of the function.

Question 7.
The Fortaleza telescope in Brazil is a radio telescope. Its shape can exist approximated with the equation y = 0.013x^two. Is the relationship between ten and y linear? Is it proportional? Explain.
____________
____________

Answer:
Compare the equation with the general linear equation y = mx + b.
The equation is not in the form of a linear equation, hence it is not a linear equation. Since x is squared, it is not proportional.

Question eight.
Kiley spent $twenty on rides and snacks at the state fair. If ten is the corporeality she spent on rides, and y is the amount she spent on snacks, the total corporeality she spent tin be represented past the equation x + y = 20. Is the relationship between ten and y linear? Is it proportional? Explain.
____________
____________

Respond:
x + y = xx
Rewriting the equation
y = 20 – x
Compare the equation with the general linear equation y = mx + b.
Information technology is linear
Since b is not equal to 0, the relationship is not proportional.

Question 9.
Correspond Real-World Issues
The drill team is ownership new uniforms. The tabular array shows y, the total cost in dollars, and x, the number of uniforms purchased.

a. Use the information to describe a graph. Is the relationship between ten and y linear? Explain.
____________

Respond:

The graph of a linear relationship is a direct line.
x and y are linear.

Question ix.
b. Use your graph to predict the cost of purchasing 12 uniforms.
$ ________

Answer:
$720

Explanation:

The cost of 12 uniforms is $720

Question x.
Marta, a whale calf in an aquarium, is fed a special milk formula. Her handler uses a graph to track the number of gallons of formula y the dogie drinks in 10 hours. Is the relationship between x and y linear? Is information technology proportional? Explain.

____________
____________

Answer:
The relationship is linear
The human relationship is proportional

Explanation:
As the data lies on a straight line, the human relationship is linear
As the graph passes through the origin, the relationship is proportional

Describing Functions – Page No. 166

Question xi.
Critique Reasoning
A student claims that the equation y = seven is non a linear equation because it does not have the course y=mx + b. Do you agree or disagree? Why?

____________

Answer:
Disagree; The equation can be written in the form y = mx + b Where grand is 0. The graph of the solutions is a horizontal line.

Question 12.
Make a Prediction
Let x represent the number of hours you read a book and y represent the total number of pages y'all have read. You lot have already read 70 pages and can read 30 pages per 60 minutes. Write an equation relating x hours and y pages you read. So predict the total number of pages yous will have read after another 3 hours.
_______ pages

Answer:
160 pages

Explanation:
Allow x represent the number of hours you read a book and y represents the full number of pages you take read. You have already read 70 pages and can read 30 pages per hour.
m = 30; b = 70 pages
y = 30x + 70
x = iii hrs
y = 30(three) + lxx = 160

H.O.T.

Focus on Higher Order Thinking

Question 13.
Draw Conclusions
Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it exist proportional? Explain your reasoning.
Blazon below:
______________

Answer:
The relationship is linear if all the points prevarication on the same line. If the relationship is linear and passes through the origin, it is proportional.

Question 14.
Communicate Mathematical Ideas
Write a existent-earth trouble involving a proportional human relationship. Explain how you know the relationship is proportional.
Type below:
______________

Reply:
The amount of money earned at a car wash is a proportional relationship. When there are 0 cars washed, $0 are earned. The amount of coin earned increases past the unit cost of a car wash.

Question 15.
Justify Reasoning
Show that the equation y + 3 = 3(2x + 1) is linear and that it represents a proportional relationship between x and y.
Type below:
______________

Answer:
y + 3 = 3(2x + one)
y +iii = 6x + iii
y = 6x
Every bit b = 0, it is a Proportional Human relationship.

Guided Exercise – Comparing Functions – Folio No. 170

Doctors have two methods of calculating maximum eye rate. With the showtime method, maximum heart rate, y, in beats per infinitesimal is y = 220 − x, where ten is the person's age. Maximum heart charge per unit with the second method is shown in the table.

Question 1.
Which method gives the greater maximum middle charge per unit for a 70-year-old?
____________ method

Answer:
Second

Explanation:
y = 220 – ten
y = 220 – 70 = 150
Observe the gradient using 2 points from the grapgh by
Gradient m = (y2 -y1)/(x2 – x1) where (x1, y1) = (xx, 194) and (x2, y2) = (30, 187)
Slope m = (y2 -y1)/(x2 – x1) = (187 – 194)/(thirty – xx) = -7/10 = -0.7
197 = -0.seven(xx) + b
y-intercept b = 208
Substituting the value of the slope thousand and y-intercept in the gradient-intercept grade. y = mx + b where, m = -0.7 and b = 208.
y = -0.7x +208
x = 70yrs
y = -0.7(70) + 208 = 159
150 < 159
Second method gives the greater maximum middle rate for a 70 year ols.

Question 2.
Are eye rate and historic period proportional or nonproportional for each method?
____________

Answer:
For method ane, the human relationship is non-propotional.
For method ii, the relationship is not-propotional.

Explanation:
Compare the equation with the general linear equation y = mx + b.
It is linear
Since b is non equal to 0, the relationship is non proportional.

Aisha runs a tutoring business organisation. With Plan 1, students may cull to pay $15 per hour. With Plan ii, they may follow the program shown on the graph.

Question 3.
Describe the plan shown on the graph.
Type beneath:
______________

Answer:
Cull two points on the graph to discover the slope.
Find the gradient
m = (y2 -y1)/(x2 – x1)
m = (60 – 40)/(4 – 0) = 20/four = five
Read the y-intercept from the graph: b = xl
Use your slope and y-intercept values to write an equation in slope-intercept
form.
y = 5x + 40
Plan two has an intial price of $40 and a charge per unit of $5 per hr.

Question 4.
Sketch a graph showing the $15 per hour option.
Type below:
______________

Answer:

Question 5.
What does the intersection of the two graphs hateful?
Type beneath:
______________

Reply:
The intersection of the two graphs represents the number of hours for which both plans will cost the aforementioned,

Question 6.
Which programme is cheaper for 10 hours of tutoring?
______________

Answer:
Plan ane
y = 15x
10 = 10 hrs
y = 15(10) = $150
Plan 2
y = 5x + forty
y = 5(x) + twoscore = $xc
$150 > $ninety
Plane two is cheaper

Question 7.
Are cost and time proportional or nonproportional for each plan?
Type below:
______________

Answer:
Comparing with the full general linear grade of equation y = mx + b. Since b = 0, the relationship is proportional
The toll and fourth dimension are proportional for Programme 1
Comparing with the general linear form of equation y = mx + b. Since b is non equal to 0, the relationship is proportional
The cost and time are not proportional for Plan 2

Essential Question Check-In

Question eight.
When using tables, graphs, and equations to compare functions, why do you find the equations for tables and graphs?
Type below:
______________

Answer:
The tables and graphs represent a part of the solution of the part. By writing the equation, any value tin can be a substitute to evaluate the function and compared it with the equations.

Independent Practice – Comparing Functions – Page No. 171

The table and graph show the miles driven and gas used for two scooters.

Question nine.
Which scooter uses fewer gallons of gas when 1350 miles are driven?
______________

Respond:
Scooter B uses fewer gallons of gas when 1350 miles are driven

Explanation:
The equation for Scooter A Slope 1000 = k = (y2 -y1)/(x2 – x1) where (x1, y1) = (150, 2) and (x2, y2) = (300, 4)
Slope m = (y2 -y1)/(x2 – x1) = (4 – ii)/(300 – 150) = two/150 = 1/75
two = 1/75(150) + b
y-intercept b = 0
Substituting the value of the gradient yard and y-intercept in the slope-intercept form. y = mx + b where, 1000 = 1/75 and b = 0.
y = 1/75x
x = 1350 miles
y = 1/75(ane,350)
y = 18gal
The equation for Scooter B Slope m = m = (y2 -y1)/(x2 – x1) where (x1, y1) = (0, 0) and (x2, y2) = (90, i)
Slope m = (y2 -y1)/(x2 – x1) = (1 – 0)/(90 – 0) = ane/xc
2 = 1/90(90) + b
y-intercept b = 0
Substituting the value of the slope one thousand and y-intercept in the slope-intercept grade. y = mx + b where, m = 1/xc and b = 0.
y = 1/90x
ten = 1350 miles
y = 1/ninety(1,350)
y = 15gal
Compare the gallons of gas to drive 1,350 miles
eighteen > fifteen
Scooter B uses fewer gallons of gas when ane,350 miles are driven.

Question 10.
Are gas used and miles proportional or nonproportional for each scooter?
______________

Answer:
The gas used and miles are proportional to both scooters.

Explanation:
Compare with general linear form of an equation, y = mx + b. If b = 0, the relationship is proportional.
The gas used and miles are proportional to both scooters.

A cell phone visitor offers two texting plans to its customers. The monthly cost, y dollars, of one plan is y = 0.10x + 5, where x is the number of texts. The cost of the other program is shown in the table.

Question 11.
Which program is cheaper for under 200 texts?
______________

Reply:
Plane 1 is cheaper

Explanation:
Plan one
y = 0.10x + 5
Subsitute 10 = 199
y = 0.10(199) + 5 = $24.90
Find the slope using 2 points from the graph past k = (y2 -y1)/(x2 – x1) where (x1, y1) = (100, 20), (x2, y2) =(200, 25)
Substitute the value of thou and (x1, y1) = (100, 20), (x2, y2) =(200, 25)
Slope one thousand = (y2 -y1)/(x2 – x1) = (25 – 20)/(200 – 100) = 5/100 = 0.05
20 = 0.05(100) + b
y-intercept b = 15
Substituting the value of gradient (m) and (x, y) in the slope intercept class to find y intercept (b):
y = 0.05x + fifteen
x = 199
y = 0.05(199) + xv = $24.95
Compare the toll for ii plans for text < 200
$24.90 < $24.95
Aeroplane 1 is cheaper

Question 12.
The graph of the first program does not laissez passer through the origin. What does this indicate?
Type beneath:
______________

Respond:
Programme 1
y = 0.10x + five
The graph that does not pass through the origin indicates that at that place is a base price of $five for the plan.

Question 13.
Brianna wants to buy a digital camera for a photography class. One store offers the camera for $fifty downwardly and a payment plan of $20 per month. The payment program for a 2nd shop is described by y = 15x + eighty, where y is the full cost in dollars and x is the number of months. Which camera is cheaper when the camera is paid off in 12 months? Explain.
______________

Reply:
For first store, the slope interecept form y = mx + b where one thousand = xx dollars per month and b = 50 dollar.
y = 20x + 50
x = 12 months
y = xx(12) + 50 = $290
2d store
y = 15x + 80
x = 12 months
y = 15(12) + 80 = $260
Compare the cost of camera if information technology paid off in 12 months $290 > $260
Camera is cheaper at second store

Comparing Functions – Folio No. 172

Question 14.
The French gild and soccer team are washing cars to earn money. The amount earned, y dollars, for washing x cars is a linear function. Which group makes the most money per car? Explain.

______________

Reply:

Explanation:
Find the gradient using two points from the grapgh by
Slope m = (y2 -y1)/(x2 – x1) where (x1, y1) = (2, 10) and (x2, y2) = (iv, 20)
Slope m = (y2 -y1)/(x2 – x1) = (20 – ten)/(4 – 2) = 10/2 = five
French Society makes $five per machine.
Find the gradient using two points from the grapgh by
Slope m = (y2 -y1)/(x2 – x1) where (x1, y1) = (0, 0) and (x2, y2) = (2, 16)
Slope one thousand = (y2 -y1)/(x2 – x1) = (16 – 0)/(2 – 0) = 16/2 = 8
Soccer Club makes $eight per car.
Compare the money earned for washing i car $5 < $8
Soccer club makes the most money per car

H.O.T.

Focus on Higher Society Thinking

Question 15.
Draw Conclusions
Gym A charges $60 a month plus $five per visit. The monthly toll at Gym B is represented by y = 5x + forty, where ten is the number of visits per month. What conclusion tin you draw about the monthly costs of the gyms?
__________ is more expensive

Respond:
Gym A is more expensive

Caption:
Since the rate per visit is the same, the monthly cost of Gyn A is always more than Gym B.

Question 16.
Justify Reasoning
Why will the value of y for the function y = 5x + 1 always be greater than that for the function y = 4x + 2 when ten > ane?
Type beneath:
______________

Answer:
y1 = 5x + 1 and y2 = 4x + 2 Subtracting y2 from y1
y1 – y2 = 5x + 1 – (4x + 2)
y1 – y2 = x -ane
For ten>= one we go 10 – 1 >= 0
So y1 – y2 >= 0 or y1 >= y2

Question 17.
Clarify Relationships
The equations of two functions are y = −21x + 9 and y = −24x + 8. Which role is irresolute more quickly? Explain.
______________

Answer:
y = -21x + 9
y = -24x + 8
y = -24x + viii is changing more rapidly as the absolute value of -24 is greater than the accented value of -21.

Guided Practice – Analyzing Graphs – Page No. 176

In a lab environment, colonies of bacteria follow a anticipated blueprint of growth. The graph shows this growth over time.

Question 1.
What is happening to the population during Phase 2?
______________

Answer:
For Phase 2, the graph is increasing quickly. This shows a catamenia of rapid growth.

Question two.
What is happening to the population during Stage 4?
______________

Answer:
In Phase 4, the graph is decreasing, hence the number of bacterias is decreasing.

The graphs give the speeds of three people who are riding snowmobiles. Tell which graph corresponds to each state of affairs.

Question 3.
Chip begins his ride slowly simply so stops to talk with some friends. Later on a few minutes, he continues his ride, gradually increasing his speed.
______________

Answer:
Graph 2

Explanation:
The slope of the graph is increasing, so it becomes constant and starts increasing again.
Graph 2

Question 4.
Linda steadily increases her speed through most of her ride. And so she slows down every bit she nears some copse.
______________

Answer:
Graph 3

Explanation:
The slope of the graph is increasing and and then decreasing.
Graph iii

Question five.
Paulo stood at the tiptop of a diving lath. He walked to the end of the board, so dove forward into the water. He plunged downwardly below the surface, so swam direct forward while underwater. Finally, he swam forrard and upward to the surface of the h2o. Draw a graph to represent Paulo'due south superlative at different distances from the edge of the pool.

Type beneath:
______________

Answer:

Contained Practice – Analyzing Graphs – Page No. 177

Tell which graph corresponds to each state of affairs below.

Question half dozen.
Arnold started from home and walked to a friend's firm. He stayed with his friend for a while and and so walked to another friend's firm further from dwelling.
______________

Answer:
Graph 3

Explanation:
The graph increases (every bit Arnold walks from habitation to friend'due south house), then becomes constant (when he stayed with his friend) and then increases again (when he walk to some other friend's house farther abroad).
Graph 3

Question seven.
Francisco started from abode and walked to the store. After shopping, he walked back home.
______________

Answer:
Graph 1

Explanation:
The graph increases (as Francisco walked from home to shop), becomes constant (when he shops), and then decreases (as he walked back home)
Graph i

Question viii.
Celia walks to the library at a steady pace without stopping.
______________

Reply:
Graph 2

Explanation:
The graph increases at a constant rate (as Celia walks to library without any stops)
Graph 2

Regina rented a motor scooter. The graph shows how far away she is from the rental site later on each half hour of riding.

Question 9.
Correspond Existent-Earth Problems
Use the graph to draw Regina's trip. Y'all can outset the description like this: "Regina left the rental shop and rode for an hour…"
Blazon below:
______________

Respond:
Regina left the rental shop and rode for an 60 minutes. She rested for half an hour and and then started dorsum. After half an hour, she changed her heed and rode for another half an 60 minutes. She rest for one-half an hour. And so she started back and ranched the rental site in two hours.

Question x.
Analyze Relationships
Decide during which half hour Regina covered the greatest distance.
Type below:
______________

Answer:
Regina covered the greatest distance between 0.5 to 1hr of the journey. She covered 12 miles.

Analyzing Graphs – Page No. 178

The data in the tabular array shows the speed of a ride at an amusement park at unlike times one afternoon.

Question eleven.
Sketch a graph that shows the speed of the ride over time.
Type below:
______________

Answer:

Question 12.
Betwixt which times is the ride's speed increasing the fastest?
Blazon below:
______________

Reply:
The speed is increasing the fastest during the 3: 21 and 3: 22

Question 13.
Between which times is the ride's speed decreasing the fastest?
Type below:
______________

Answer:
The speed is decreasing the fastest during the iii: 23 and iii: 24

H.O.T.

Focus on Higher Club Thinking

Question 14.
Justify Reasoning
What is happening to the fox population before time t? Explicate your reasoning.

Type beneath:
______________

Answer:
The population decreases and and so increases before time t

Question fifteen.
What If?
Suppose at time t, a conservation system moves a large grouping of foxes to the isle. Sketch a graph to evidence how this activity might affect the population on the isle after time t.

Type below:
______________

Answer:

Explanation:
Population is decreasing at get-go, and then it is increasing rapidly.

Question 16.
Make a Prediction
At some point afterward time t, a forest burn destroys function of the woodland surface area on the island. Depict how your graph from problem 15 might change.
Type below:
______________

Answer:
The population would dramatically decrease if there was a fire due to lack of food supply and good country.

vi.1 Identifying and Representing Functions – Model Quiz – Page No. 179

Make up one's mind whether each relationship is a part.

Question 1.

__________

Answer:
Not a office

Explanation:
A relationship is a function when each input is paired with exactly one output. The input 5 has more than one output.
Not a function

Question ii.

__________

Respond:
Function

Explanation:
A human relationship is a function when each input is paired with exactly one output.
Each input is paired with but one output.
Function

Question 3.
(ii, five), (7, 2), (−3, 4), (two, 9), (1, 1)
__________

Answer:
Not a role

Explanation:
A relationship is a role when each input is paired with exactly one output. Input 2 has more than than one output.
Non a function

half dozen.ii Describing Functions

Decide whether each state of affairs is linear or nonlinear, and proportional or nonproportional.

Question 4.
Joanna is paid $fourteen per hour.
__________
__________

Answer:
Linear
Proportional

Explanation:
Writing the situation as an equation, where x is the number of hours.
y = 14x
Compare with general linear equation y = mx + b
Linear
Since b = 0, the human relationship is proportional.
Proportional

Question five.
Alberto started out bench pressing fifty pounds. He so added 5 pounds every week.
__________
__________

Answer:
Linear
Not-proportional

Explanation:
Writing the situation as an equation, where x is the number of hours.
y = 5x + l
Compare with general linear equation y = mx + b
Linear
Since b is not equal to 0, the relationship is non-proportional.
Non-proportional

6.3 Comparing Functions

Question 6.
Which office is changing more rapidly? Explicate.

__________

Answer:
Function 2 is changing more quickly.

Explanation:
Observe the rate of change for function i
Rate of Change = (20 – 0)/(0 – 5) = -4
Find the rate of change for function 1
Rate of Modify = (half-dozen.5 – 11)/(3 – ii) = -4.5
Althogh -4.5 < -4, the absolute value of -4.five s greater than -4.
Role ii is changing more than quickly.

6.iv Analyzing Graphs

Question seven.
Draw a graph that shows Sam running at a constant rate.
Type below:
______________

Answer:
The graph would be a direct line

Explanation:
Since Sam is running at a constant rate, distance covered per unit of time remains the same and the relationship is linear and proportional.
The graph would exist a directly line

Essential Question

Question viii.
How tin you use functions to solve real-world bug?
Type beneath:
______________

Answer:
If in the equation the power of ten is one then information technology is linear otherwise nonlinear.
In a graph, if the points form a line it is linear if they form a bend information technology is a nonlinear function.

Selected Response – Mixed Review – Page No. 180

Question 1.
Which table shows a proportional role?

Options:
a. A
b. B
c. C
d. D

Answer:
c. C

Explanation:
It contains the ordered pair of the origin (0, 0)
Option C represents a proportional human relationship.

Question ii.
What is the slope and y-intercept of the function shown in the table?

Options:
a. thou = -2; b = -4
b. m = -2; b = 4
c. m = two; b = 4
d. m = 4; b = ii

Answer:
c. g = two; b = 4

Caption:
Observe the gradient using ii points from the grapgh by
Gradient thou = (y2 -y1)/(x2 – x1) where (x1, y1) = (1, 6) and (x2, y2) = (4, 12)
Gradient m = (y2 -y1)/(x2 – x1) = (12 – six)/(four – 1) = 6/3 = two
Substituting the value of the slope k and (x, y) to discover the slope-intercept form.
12 = 4(two) + b
y-intercept b = 4

Question 3.
The table below shows some input and output values of a function.

What is the missing output value?
Options:
a. 20
b. 21
c. 22
d. 23

Answer:
b. 21

Explanation:
Find the rate of change = (17.5 – xiv)/(5 – 4) = iii.five
Since the missing output is corresponding to x = six and three.5 to 17.5 (for x = 5)
Output = 17.5 + 3.5 = 21

Question four.
Tom walked to schoolhouse at a steady footstep, met his sister, and they walked home at a steady pace. Describe this graph.
Options:
a. V-shaped
b. upside downward V-shaped
c. Directly line sloping up
d. Straight line sloping down

Answer:
b. upside-downward V-shaped

Explanation:
The graph would increase at a constant rate and would decrease at a constant rate.
The graph would be the upside-down 5-shaped

Mini-Task

Question 5.
Linear functions tin exist used to notice the price of a edifice based on its floor surface area.Below are two of these functions.
y = 40x + 15,000

a. Find and compare the slopes.
Type below:
____________

Answer:
Compare the slopes
The slope for the get-go office is less than the gradient of the second function.
y = 40x + 15000
Compare with slope intercept form y = mx + b where thousand is the slope m = 40
2nd part find the slope using given points by Slope grand = (y2 -y1)/(x2 – x1) where (x1, y1) = (7, 3) and (x2, y2) = (6, 4)
Slope m = (y2 -y1)/(x2 – x1) = (56000 – 32000)/(700 – 400) = 24000/300 = 80
m = 80

Question 5.
b. Find and compare the y-intercepts.
Type beneath:
____________

Answer:
y = 40x + 15,000
Compare with slope-intercept form y = mx + b where m is the slope b = 15000
The second function observe the slope using given points by Gradient m and (x, y) in the slope-intercept course to fins y-intercept b
y = mx + b where (x, y) = (700, 56000) and 1000 = fourscore
56000 = 80(700) + b
b = 0
Compare y intercepts
The y-intercept of the first part is greater than the y-intercept of the second function

Question 5.
c. Depict each part as proportional or nonproportional.
Type below:
____________

Reply:
Comparable to slope interecept form y = mx + b
Beginning function: y = 40x + 15000
Second role: y = 80x
Since b is not equal to 0
Offset function is not-proportional
Since b = 0
The second function is proportional.

Determination:

we wish the detailed prevailed in HMH Go Math 8th Grade Affiliate 6 Functions are helpful for you to score the best in the exams. Download our Become Math Grade 8 Solution Key Chapter vi Functions PDF for free of cost. Continue in touch on with us to get the fastest updates near the Get Math Class 8 Chapter 6 Functions Answer Key. For whatever queries, you can post your comments in the beneath comment section.

williamsonbutfor.blogspot.com

Source: https://ccssmathanswers.com/go-math-grade-8-answer-key-chapter-6-functions/

Share this post