Quiz about Comparing Different Forms of Functions

Question 1

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

Accepted Answer

$6 per hour

Answer

$5 per hour

Answer

$1 for 6 hours

Answer

$1 for 5 hours

Question 2

Which company shows a greater rate of change?

Accepted Answer

Water's Edge Rafts

Answer

Ryan's Rafts

Question 3

Who is losing weight faster?

Accepted Answer

Valerie

Answer

Oscar

Answer

Mrs. Conte

Answer

They are losing the same amount of weight

Question 4

Two linear functions are shown below. Which function has the greater initial value?

Accepted Answer

Function A

Answer

Function B

Question 5

Two linear functions are shown. Linear function J is represented by the equation $$y=\frac{3}{4}x-6$$ . The table represents linear function K. Which Function has a larger x-intercept and what is its x-intercept?

Accepted Answer

Function J, 8

Answer

Function J, -6

Answer

Function K, 5

Answer

Function K, 10

Question 6

Two linear functions are shown. Linear function J is represented by the equation $$y=\frac{3}{4}x-6$$ . The table represents linear function K. Which Function has a larger x-intercept and what is its x-intercept?

Accepted Answer

Function J, 8

Answer

Function J, -6

Answer

Function K, 5

Answer

Function K, 10

Question 7

Who has the greater rate of change?

Accepted Answer

Harmon has the greater rate of change with 7/2

Answer

Smith has the greater rate of change with 5/4

Answer

Smith has the greater rate of change with 4/5

Answer

They have the same rate of change.

Question 8

Who has the greater rate of change?

Accepted Answer

Harmon has the greater rate of change.

Answer

Smith has the greater rate of change.

Answer

Macey has the greater rate of change.

Answer

They have the same rate of change

Question 9

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 10

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 fee per guest?

Accepted Answer

Coordinator D

Answer

Coordinator A

Answer

Coordinator B

Answer

Coordinator C

Question 11

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 12

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.

Question 13

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

Accepted Answer

$2.25 per hour

Answer

$15 per hour

Answer

$17.25 per hour

Answer

$1 per hour

Question 14

Who weighed more at the beginning of the show?

Accepted Answer

Oscar

Answer

Valerie

Answer

Mrs. Conte

Answer

They weighed the same

Question 15

Which of these represents slope-intercept form?

Accepted Answer

y = mx + b

Answer

y - y₁ = m(x-x₁)

Answer

Ax + By = C

Comparing Different Forms of Functions

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