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 total quantity by the number of units. For example, if you have 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

What is the unit rate of 30 miles in 1 hour?

Back

30 miles per hour.

Front

If Samantha drives at 30 miles per hour and Tracy drives 60 miles every 2 hours, who drives faster?

Back

They drive the same speed per hour.

Front

How do you calculate the cost per unit?

Back

To calculate the cost per unit, divide the total cost by the number of units. For example, if Will spent $3.75 for 3 pounds of granola, the cost per pound is $3.75 ÷ 3 = $1.25 per pound.

Front

What is the cost for 3 hours of horseback riding at $17.95 per hour?

Back

$53.85.

Front

If a recipe requires 16 tablespoons of honey for 20 cups of flour, how many tablespoons are needed for 1 cup of flour?

Back

0.8 tablespoons per cup.

Front

What is the ratio of laps to minutes if you run 30 laps in 10 minutes?

Back

The ratio is 3 laps per minute.

Front

If a car travels 120 miles in 2 hours, what is its speed in miles per hour?

Back

60 miles per hour.

Front

What does it mean if two quantities are in a proportional relationship?

Back

It means that as one quantity increases or decreases, the other quantity does so at a constant rate.