Understanding Proportional Relationships

A car travels at a constant speed. The table below shows the distance traveled over time.

What is the constant rate of change for the car's travel?

• 30 miles per hour

• 60 miles per hour

• 90 miles per hour

• 120 miles per hour

If a store sells 5 notebooks for $12.50, what is the unit rate per notebook?

• $1.50

• $2.00

• $2.50

• $3.00

A shirt originally costs 40. It is now on sale for 30. What is the percent decrease in the price?

• 15%

• 20%

• 25%

• 30%

Given the proportional relationship y = 7x, what is the constant of proportionality?

• 1

• 7

• x

• y

If 1 inch equals 2.54 centimeters, how many centimeters are in 12 inches?

• 24.5 cm

• 30.48 cm

• 32.48 cm

• 36.48 cm

The graph of a proportional relationship passes through the points (0, 0) and (4, 10). What is the constant rate of change?

• 2

• 2.5

• 4

• 10

A recipe uses 3 cups of flour for every 2 cups of sugar. What is the unit rate of flour to sugar?

• 1.5 cups of flour per cup of sugar

• 2 cups of flour per cup of sugar

• 2.5 cups of flour per cup of sugar

• 3 cups of flour per cup of sugar

A pair of shoes is marked up from 50 to 65. What is the percent increase?

• 20%

• 25%

• 30%

• 35%

If y is directly proportional to x and y = 18 when x = 6, what is the constant of proportionality k?

• 2

• 3

• 6

• 12

A car travels 100 kilometers in 2 hours. How many miles does it travel if 1 mile = 1.6 kilometers?

• 50 miles

• 60 miles

• 62.5 miles

• 80 miles