Worksheet for Constant of Proportionality

Instructions: Solve the following problems by finding the constant of proportionality. Show all your work and write your answers in the space provided.

1. The cost of 5 apples is $2.50. Find the cost of 8 apples.

Constant of proportionality: ___

Solution: Step 1: Divide the cost of 5 apples by 5 to find the cost of 1 apple. Step 2: Multiply the cost of 1 apple by 8 to find the cost of 8 apples.

Cost of 1 apple: ___ Cost of 8 apples: ___

1. A car travels 180 miles in 3 hours. How far will the car travel in 5 hours?

Constant of proportionality: ___

Solution: Step 1: Divide the distance traveled in 3 hours by 3 to find the distance traveled in 1 hour. Step 2: Multiply the distance traveled in 1 hour by 5 to find the distance traveled in 5 hours.

Distance traveled in 1 hour: ___ Distance traveled in 5 hours: ___

1. A recipe calls for 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 24 cookies?

Constant of proportionality: ___

Solution: Step 1: Divide the cups of flour needed to make 12 cookies by 12 to find the cups of flour needed to make 1 cookie. Step 2: Multiply the cups of flour needed to make 1 cookie by 24 to find the cups of flour needed to make 24 cookies.

Cups of flour needed to make 1 cookie: ___ Cups of flour needed to make 24 cookies: ___

1. A machine can produce 60 widgets in 4 hours. How many widgets can the machine produce in 8 hours?

Constant of proportionality: ___

Solution: Step 1: Divide the number of widgets produced in 4 hours by 4 to find the number of widgets produced in 1 hour. Step 2: Multiply the number of widgets produced in 1 hour by 8 to find the number of widgets produced in 8 hours.

Number of widgets produced in 1 hour: ___ Number of widgets produced in 8 hours: ___

1. A cyclist can travel 45 miles in 3 hours. How far can the cyclist travel in 6 hours?

Constant of proportionality: ___

Solution: Step 1: Divide the distance traveled in 3 hours by 3 to find the distance traveled in 1 hour. Step 2: Multiply the distance traveled in 1 hour by 6 to find the distance traveled in 6 hours.

Distance traveled in 1 hour: ___ Distance traveled in 6 hours: ___