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 buy 3 apples for $6, the unit rate is $2 per apple.

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items. For example, if 20 shirts cost $38.40, the cost per shirt is $38.40 ÷ 20 = $1.92.

Front

If Sophia walked 6 miles in 90 minutes, how do you find her speed in miles per hour?

Back

To find the speed in miles per hour, first convert 90 minutes to hours (90 ÷ 60 = 1.5 hours). Then divide the distance by the time: 6 miles ÷ 1.5 hours = 4 miles per hour.

Front

What is the formula to find the unit price?

Back

The formula to find the unit price is: Unit Price = Total Price ÷ Number of Units.

Front

How do you find the average daily earnings?

Back

To find the average daily earnings, divide the total earnings by the number of days worked. For example, if Joe earned $113.55 in 5 days, his average daily earnings are $113.55 ÷ 5 = $22.71.

Front

If Doug read 231 pages in 8 hours, how do you calculate his reading rate per hour?

Back

To calculate the reading rate per hour, divide the total pages by the total hours: 231 pages ÷ 8 hours = 28.875 pages per hour.

Front

What is the importance of unit rates in real life?

Back

Unit rates help us compare prices, speeds, and other quantities in a standardized way, making it easier to make informed decisions.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the quantity of interest and the denominator is 1. For example, 4 miles per hour can be written as 4/1.

Front

What is a practical example of using unit rates?

Back

A practical example is comparing prices of different brands of cereal. If Brand A costs $3 for 12 ounces and Brand B costs $4 for 16 ounces, calculating the unit price helps determine which is cheaper.

Front

How do you convert minutes to hours?

Back

To convert minutes to hours, divide the number of minutes by 60. For example, 90 minutes ÷ 60 = 1.5 hours.