Constant Rate of Change Review

Jeffrey earns a constant hourly rate of $12.25 at the tire shop. Which of these best represents the relationship between the number of hours Joseph worked, h, and his total amount earned, t?

• A

• B

• C

• D

Eric conducted an experiment in his science class and recorded the data in a table. What is the constant of proportionality that relates the distance traveled, y, to the elapsed time in seconds, x, represented by this data?

• A 6

• B 2

• C 3

• D 6

Alexis makes wind chimes to sell at the local market. The graph shows the relationship between the number of wind chimes she sells and the total profit she earns. What is the constant of proportionality that relates profits in dollars, y, to the number of wind chimes sold, x?

• A 7

• B 5

• C 10

• D 7

Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?

• 4

• 2.73

• 43.68

• 10.92

Natalie bought 12 bell peppers at the store for a cost of $6.00. Which graph best represents the constant of proportionality that relates the cost of peppers, y, to the number of bell peppers, x?

• Graph A

• Graph B

• Graph C

• Graph D

A local event company rents out large light-up letters for parties. The total cost is determined by the number of light-up letters used for the display. Which graph and numeric representation best represents the relationship between c, the total cost of renting n light-up letters? Select TWO correct answers.

• Graph and Table 1

• Graph and Table 2

• Graph and Table 3

• Graph and Table 4

Identify one table, one graph, and one equation that represent the same constant rate of change. Select THREE correct answers.

• y = 3x

• y = 3.5x

• y = 5/16 x

American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of these best represents this trip with a constant unit rate of travel?

• y = 83x

• Graph of American Black Duck Travels

• Table of American Black Duck Travels

• Graph of American Black Duck Travels

Martha’s video game rental plan costs $18 per month. Which table shows the sum of the amounts that Martha will pay for her video game rental plan over the next 5 months?

• Month 1: $18, Month 2: $36, Month 3: $54, Month 4: $72, Month 5: $90

• Month 1: $18, Month 2: $23, Month 3: $28, Month 4: $33, Month 5: $38

• Month 1: $0, Month 2: $18, Month 3: $36, Month 4: $54, Month 5: $72

• Month 1: $18, Month 2: $18, Month 3: $18, Month 4: $18, Month 5: $18

A line is shown graphed on a coordinate grid. What is the constant of proportionality that relates y to x, written as a simplified fraction?

• 1/2

• 2/3

• 3/4

• 4/5