Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you earn $90 for 6 hours of work, the unit rate is $90 ÷ 6 = $15 per hour.

Front

If Johnny read 280 pages in 4 hours, how many pages did he read per hour?

Back

70 pages per hour.

Front

What is the formula for calculating the total amount earned based on hourly wage?

Back

Total Amount Earned = Hourly Wage × Number of Hours Worked.

Front

If Samantha earned $90 for working 6 hours, what was her hourly rate?

Back

$15 per hour.

Front

How do you determine the number of items needed based on a ratio?

Back

Multiply the number of items by the ratio. For example, if 1 container of frosting is needed for 36 cupcakes, for 300 cupcakes, you need 300 ÷ 36 = 8.33 containers, which rounds to 9.

Front

If Fran's booth rented out 96 kayaks in 8 hours, how many kayaks were rented per hour?

Back

12 kayaks per hour.

Front

What is the relationship between hours worked and total earnings in a proportional relationship?

Back

As hours worked increase, total earnings increase at a constant rate, represented by the hourly wage.

Front

If Toby brings 3 brownies every week, how many brownies will he bring in 5 weeks?

Back

15 brownies.

Front

What is a unit rate in the context of proportional relationships?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.