Unit Rate & Proportions

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 a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 120 customers in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

If a store sells 40 apples for $20, what is the unit price per apple?

Back

The unit price per apple is $20 ÷ 40 apples = $0.50 per apple.

Front

What is the unit rate in customers per hour if a store has 120 customers in 6 hours?

Back

20 customers per hour.

Front

If a cashier rings up 2 customers in 8 minutes, how many customers can he ring up in 30 minutes?

Back

7.5 customers.

Front

How do you find the total amount based on a unit rate?

Back

Multiply the unit rate by the total number of units. For example, if the unit rate is $8 per pound and you buy 5 pounds, the total cost is 8 × 5 = $40.

Front

What is the unit rate in dollars per pound if you spend $40 on 5 pounds of concrete?

Back

$8 per pound.

Front

If a machine can pack 70 boxes in 5 minutes, how many boxes can it pack in 8 minutes?

Back

112 boxes.

Front

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

Back

102 words per minute.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.