Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y=3x+10 What does the y-intercept of the graph of this equation represent?

The number of times Rich goes to the gym

The total cost at the end of the month

The table below shows some of the values for the linear function f . Let g be the linear function defined by g ( x ) = 4 x + 5. Which statement is true?

The graph of g has a greater slope than the graph of f .

The graph of f has a greater slope than the graph of g .

The graph of f has the same slope as the graph of g .

The slopes of the graphs of f and g are undefined.

The function C ( m ) = 0.55 m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

Allison compared the y -intercept of f ( x )= 4 – 5 x to the y -intercept of the function that fits the values in the table. Which statement is true?

The y -intercept of g ( x ) is two times the y -intercept of f ( x ).

The y -intercept of g ( x ) is half the y -intercept of f ( x ).

The y- intercept of g ( x ) is equal to the y -intercept of f ( x ).

The y -intercept of g ( x ) is the negative value of the y -intercept of f ( x ).

Which statement is true about the function f ( x ) = 6 x + 2 and the linear function that fits the values in the table?

f ( x ) has the same y -intercept as g ( x ).

f ( x ) has the same slope as g ( x ).

f ( x ) has the same x -intercept as g ( x ).

f ( x ) and g ( x ) are the same function.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

Kyle sells bags of popcorn at school events. The function P = 1.25b – 18 represents Kyle’s profit, where P stands for profit and b stands for the number of bags of popcorn sold. His brother Nathan sells bottles of fruit juice and has kept track of his daily sales and profit in the table. If Nathan’s profit is modeled linearly, which statement can be predicted from the two models?

Kyle will have a higher profit than Nathan if they each sell 20 items.

Kyle will have a higher profit than Nathan if they each sell 50 items.

Kyle will have a higher profit than Nathan if they each sell 40 items.

Kyle will have a higher profit than Nathan if they each sell 30 items.

Comparing Linear Functions on Graphs

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.A.2, 8.EE.B.5, 8.F.A.3

+3

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which graph is linear?

Graph A

Graph B

Graph C

Graph D

Tags

CCSS.8.F.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function is linear?

f(x)

h(x)

g(x)

Tags

CCSS.8.F.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which scatter plot BEST represents a model of linear growth?

A

B

C

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which company shows a greater rate of change?

Water's Edge Rafts

Ryan's Rafts

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?

The graph of f is less steep than the graph of g.

The graph of f has the same y-intercept as the graph of g.

The graph of f is parallel to the graph of g.

The graph of f is steeper than the graph of g.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the graph linear, exponential or neither?

Linear

Exponential

Neither

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Comparing Linear Functions on Graphs

20 questions

Which graph is linear?

Which function is linear?

Which scatter plot BEST represents a model of linear growth?

Which company shows a greater rate of change?

Two functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?

Is the graph linear, exponential or neither?

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

Is the equation linear, exponential, or quadratic?
y = 2x+ 4

Pick a function that best models the following situation: A babysitter getting paid hourly.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Comparing Linear Functions on Graphs

20 questions

Which graph is linear?

Which function is linear?

Which scatter plot BEST represents a model of linear growth?

Which company shows a greater rate of change?

Two functions are given below. f(x) = −4x + 1 1 g(x) = −4x + 2 How does the graph of f compare with the graph of g?

Is the graph linear, exponential or neither?

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.y=3x+10What does the y-intercept of the graph of this equation represent?

Is the equation linear, exponential, or quadratic?y = 2x+ 4

Pick a function that best models the following situation: A babysitter getting paid hourly.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Two functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

Is the equation linear, exponential, or quadratic?
y = 2x+ 4