Unit Rates

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 you drive 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you calculate the unit cost per item?

Back

To calculate the unit cost per item, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

Front

If a store sees 120 customers in 8 hours, what is the unit rate of customers per hour?

Back

To find the unit rate, divide the total number of customers by the total hours: 120 customers ÷ 8 hours = 15 customers per hour.

Front

What is the cost per pound if 4 pounds of bananas cost $6?

Back

To find the cost per pound, divide the total cost by the total weight: $6 ÷ 4 pounds = $1.50 per pound.

Front

How do you determine if a rate is faster or slower?

Back

To determine if a rate is faster or slower, compare the unit rates. For example, if one teacher grades 25 assignments in 20 minutes and another grades 36 in 30 minutes, calculate the rates and compare.

Front

What is the unit rate if Joshua drove 90 miles on 15 gallons of gas?

Back

To find the unit rate, divide the total miles by the total gallons: 90 miles ÷ 15 gallons = 6 miles per gallon (mpg).

Front

What is the formula for calculating unit rates?

Back

The formula for calculating unit rates is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

To find the unit rate, divide the total miles by the total hours: 300 miles ÷ 5 hours = 60 miles per hour.

Front

What does it mean if a unit rate is expressed as 'per 1'?

Back

It means that the rate is being compared to a single unit of measurement, such as 'per 1 hour' or 'per 1 item'.

Front

How can unit rates help in making decisions?

Back

Unit rates can help compare prices, speeds, or efficiencies, allowing for better decision-making, such as choosing the best deal or the fastest option.