Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if 25 pens cost $1.00, the unit rate is $1.00 ÷ 25 = $0.04 per pen.

Front

If a person travels 36 miles in 6 hours, what is their speed in miles per hour?

Back

To find the speed, divide the total distance by the total time. Here, 36 miles ÷ 6 hours = 6 mph.

Front

How do you calculate the cost of multiple items using the unit rate?

Back

First, find the unit rate (cost per item), then multiply that rate by the number of items. For example, if apples cost $0.60 each, then 6 apples cost $0.60 × 6 = $3.60.

Front

What is the unit price if 8 cans of soda cost $3?

Back

To find the unit price, divide the total cost by the number of items. Here, $3 ÷ 8 cans = $0.375 per can, which rounds to $0.38.

Front

If Joshua drove 90 miles using 15 gallons of gas, how do you find the miles per gallon?

Back

To find miles per gallon, divide the total miles by the total gallons. Here, 90 miles ÷ 15 gallons = 6 mpg.

Front

What is the formula to calculate unit rate?

Back

Unit Rate = Total Quantity / Total Cost or Total Distance / Total Time.

Front

Why is it important to find the unit rate?

Back

Finding the unit rate helps compare prices or speeds effectively, allowing for better decision-making.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

150 miles ÷ 3 hours = 50 mph.

Front

How do you convert a unit rate to a different unit?

Back

To convert a unit rate, multiply by the conversion factor that relates the two units. For example, to convert miles per hour to feet per second, multiply by 1.46667.