Unit Rates from Ordered Pairs, Tables and Graphs

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 a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of the other item. For example, if you have 10 apples for $5, the unit rate is $5 ÷ 10 apples = $0.50 per apple.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. It is the unit rate that remains constant throughout the relationship.

Front

If a car travels 90 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 90 miles ÷ 2 hours = 45 miles per hour.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

If you buy 4 pounds of apples for $8, what is the price per pound?

Back

The price per pound is $8 ÷ 4 pounds = $2 per pound.

Front

What is the unit rate of 150 beats in 3 minutes?

Back

The unit rate is 150 beats ÷ 3 minutes = 50 beats per minute.

Front

How can you represent unit rates in a table?

Back

You can represent unit rates in a table by listing quantities in one column and their corresponding unit rates in another column, showing the relationship clearly.

Front

What is the unit rate of 200 miles in 4 hours?

Back

The unit rate is 200 miles ÷ 4 hours = 50 miles per hour.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

The unit rate is 3 cups ÷ 12 cookies = 0.25 cups of flour per cookie.