Quiz about Linear Comparisons

Question 1

Function A is represented by the equation: $$4x-16y=-16$$

Function B is represented by the table.

Which statement is true?

Accepted Answer

The y-intercept of Function A is greater than the y-intercept of Function B.

Answer

The y-intercept of Function A is less than the y-intercept of Function B.

Answer

The y-intercept of Function A is equal to the y-intercept of Function B.

Question 2

Which function has a greater rate of change than the function that passes through the points given in the table below?

Accepted Answer

$$3x-5y=25$$

Answer

$$7y-3x=14$$

Answer

$$y=1+\frac{1}{2}x$$

Answer

$$y=-1+\frac{1}{4}x$$

Question 3

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

Accepted Answer

$$g\left(x\right)=x+6$$

Accepted Answer

$$h\left(x\right)=\frac{3}{4}x-9$$

Accepted Answer

$$k\left(x\right)=x$$

Answer

$$f\left(x\right)=\frac{1}{2}x-5$$

Answer

$$j\left(x\right)=\frac{1}{4}x+8$$

Question 4

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest initial fee?

Accepted Answer

Coordinator B

Answer

Coordinator A

Answer

Coordinator C

Answer

Coordinator D

Question 5

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest initial fee?

Which coordinator charges the greatest fee per guest?

Accepted Answer

Coordinator D

Answer

Coordinator A

Answer

Coordinator B

Answer

Coordinator C

Question 6

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest initial fee?

If Janet is planning on inviting 24 guests, which coordinator should she use?

Accepted Answer

Coordinator C

Answer

Coordinator A

Answer

Coordinator B

Answer

Coordinator D

Question 7

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest initial fee?

If Janet is planning on inviting 80 guests, which coordinator should she use?

Accepted Answer

Coordinator B

Answer

Coordinator A

Answer

Coordinator C

Answer

Coordinator D

Question 8

Alicia and Melissa did jumping jacks.

The table shows the number of jumping jacks that Alicia had done in different amounts of time.

The graph shows the number of jumping jacks that Melissa had done in different amounts of time.

Which choice best describes the difference between the rates at which the girls did jumping jacks?

Accepted Answer

Alicia did 5 more jumping jacks per minute than Melissa.

Answer

Melissa did 6 more jumping jacks per minute than Alicia.

Answer

Alicia did 6 more jumping jacks per minute than Melissa.

Answer

Melissa did 5 more jumping jacks per minute than Alicia.

Question 9

Which panda is growing faster?

Accepted Answer

Mochi

Answer

Kappa

Answer

Po the dragon warrior

Answer

Jack Black

Question 10

Which panda will weigh more at 5 weeks?

Accepted Answer

Mochi

Answer

Kappa

Answer

Po the dragon warrior

Answer

Jack Black

Question 11

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

Accepted Answer

12 units

Answer

0 units

Answer

4 units

Answer

20 units

Question 12

The function C(m) = 0.55m + 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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Linear Comparisons

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