Unit 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 you buy 5 pounds of apples for $10, the unit rate is $2 per pound.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If you spend $3.75 for 3 pounds of granola, what is the unit rate?

Back

The unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What does proportionality mean in mathematics?

Back

Proportionality means that two quantities increase or decrease at the same rate. If one quantity doubles, the other quantity also doubles.

Front

How can you determine which option is a better buy?

Back

To determine the better buy, calculate the unit price for each option and compare them. The option with the lower unit price is the better buy.

Front

What is the unit price of an 8 pack of juice boxes that costs $4.79?

Back

The unit price is $4.79 ÷ 8 = $0.59875 per juice box.

Front

What is the unit price of a 12 pack of juice boxes that costs $6.59?

Back

The unit price is $6.59 ÷ 12 = $0.5491667 per juice box.

Front

If a lawn mowing service charges $18 for 2 hours, what is the hourly rate?

Back

The hourly rate is $18 ÷ 2 = $9 per hour.

Front

What is the cost for 1 pound of grapes if the price is $1.50 per pound?

Back

The cost for 1 pound of grapes is $1.50.

Front

If you buy 10 pounds of potatoes for $5, what is the unit rate?

Back

The unit rate is $5 ÷ 10 = $0.50 per pound.