Rates and Proportionality

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if Julio walks 2½ miles in 2 hours, the unit rate is 1¼ miles/hour.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant. For example, if a table shows values that maintain the same ratio, it is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship. For example, if the ratio is 3, then the constant of proportionality is 3.

Front

Which graph represents a proportional relationship?

Back

A graph that passes through the origin (0,0) and has a straight line indicates a proportional relationship.

Front

How do you calculate miles per gallon?

Back

To calculate miles per gallon, divide the total miles driven by the total gallons of gas used. For example, if my father drove 231 miles with 7 gallons of gas, the mileage is 231 ÷ 7 = 33 miles per gallon.

Front

When are unit rates useful?

Back

Unit rates are useful when comparing prices or quantities to determine the best deal or rate.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you find the unit rate from a given scenario?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 10 apples for $5, the unit rate is $5 ÷ 10 = $0.50 per apple.

Front

What does it mean if a table shows a constant ratio?

Back

If a table shows a constant ratio, it indicates that the relationship between the two quantities is proportional.

Front

How do you identify a proportional graph?

Back

A proportional graph will always be a straight line that passes through the origin (0,0).