Rates and Unit Rates

Front

What is a unit rate?

Back

A unit rate is a rate that compares a quantity to one unit of another quantity, expressed as a ratio.

Front

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

Back

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

Front

What is the difference between a rate and a unit rate?

Back

A rate is a ratio that compares two quantities with different units, while a unit rate is a specific type of rate that compares a quantity to one unit of another quantity.

Front

Provide an example of a rate.

Back

An example of a rate is 60 miles per hour, which compares distance to time.

Front

What does the term 'equivalent ratio' mean?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities, such as 1:2 and 2:4.

Front

If you travel 150 miles in 3 hours, what is your speed in miles per hour?

Back

To find the speed, divide the distance by the time: 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

What is an example of a rate that compares different units?

Back

An example of a rate that compares different units is 5 dollars per pound.

Front

How can you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing the first quantity in the numerator and the second quantity in the denominator, such as 50 miles/1 hour.

Front

What is the unit rate of 100 calories burned in 25 minutes?

Back

The unit rate is 100 calories ÷ 25 minutes = 4 calories per minute.