Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if a car travels 440 miles in 8 hours, the unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply and then divide. For example, if you have a/b = c/d, then ad = bc. Solve for the unknown variable.

Front

What is the unit rate of $200 for 8 hours of work?

Back

$25 per hour.

Front

If Will spent $3.75 for 3 pounds of granola, what is the unit rate in dollars per pound?

Back

$1.25 per pound.

Front

If a recipe calls for 1 cup of milk and 3 cups of flour, how much milk is needed if 5 cups of flour are used?

Back

1.67 cups of milk.

Front

What is the unit rate of 440 miles in 8 hours?

Back

55 miles per hour.

Front

If a car travels 110 miles in 2 hours, what is the unit rate?

Back

55 miles per hour.

Front

What is the unit rate of 12 apples for $3?

Back

$0.25 per apple.