Constant of Proportionality/Unit Rate Quiz

The graph shows the relationship between the number of hours worked (x) and the amount earned in dollars (y). What is the constant of proportionality (unit rate) in dollars per hour?

• 5

• 10

• 15

• 20

In the equation (y = 7x), what is the constant of proportionality?

• (y)

• 7

• (x)

• (y) and (x)

A line on a graph representing a proportional relationship passes through the point (3, 12). What is the constant of proportionality?

• 3

• 4

• 9

• 12

Which of the following equations represents a proportional relationship with a unit rate of 5?

• (y = x + 5)

• (y = 5x)

• (y = 1/5x)

• (y = 5 + x)

The graph shows the number of miles driven (y) for every gallon of gas used (x). What is the unit rate in miles per gallon?

• 10

• 20

• 25

• 30

In the equation (d = 65t), where (d) represents distance and (t) represents time, what does the number 65 represent?

• The total distance traveled

• The total time taken

• The constant of proportionality (unit rate of speed)

• The starting distance

A baker uses 3 cups of flour for every 2 batches of cookies. Which equation represents this relationship, where (y) is the number of cups of flour and (x) is the number of batches of cookies? What is the constant of proportionality?

• y = 2/3x; constant of proportionality = 2/3

• y = 3x; constant of proportionality = 3

• y = 3/2x; constant of proportionality = 3/2

• y = 2x; constant of proportionality = 2

The cost of apples is directly proportional to the number of pounds purchased. If 5 pounds of apples cost $7.50, what is the constant of proportionality (unit rate) in dollars per pound?

• $0.50 per pound

• $1.00 per pound

• $1.50 per pound

• $2.50 per pound

The graph shows the relationship between the number of songs downloaded (x) and the total data used in megabytes (y). What is the constant of proportionality (unit rate) in megabytes per song?

• 0.5

• 2.5

• 2

• 5

Which of the following equations does not represent a proportional relationship?

• (y = 12x)

• (y = 1/3x)

• (y = x - 4)

• (y = -2x)