Unit Rate & Unit Price

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 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate the unit rate of miles per gallon?

Back

To calculate the unit rate of miles per gallon, divide the total miles driven by the total gallons of gas used. For example, if you drive 90 miles on 15 gallons, the unit rate is 90 ÷ 15 = 6 mpg.

Front

What is the formula to find the unit price?

Back

The unit price is found by dividing the total price by the total quantity. For example, if a jar of mayonnaise costs $2.99 for 30 ounces, the unit price is $2.99 ÷ 30 = $0.10 per ounce.

Front

If 4 chocolate bars cost $2.00, how much does one chocolate bar cost?

Back

To find the cost of one chocolate bar, divide the total cost by the number of bars: $2.00 ÷ 4 = $0.50 per bar.

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What is the unit rate of earnings per hour if you earn $200 for 8 hours of work?

Back

To find the unit rate of earnings per hour, divide the total earnings by the total hours worked: $200 ÷ 8 = $25 per hour.

Front

What does 'per' mean in unit rates?

Back

'Per' indicates a ratio or comparison of one quantity to one unit of another quantity, such as miles per hour or dollars per hour.

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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 total quantity and the denominator is the unit quantity. For example, 6 miles per hour can be written as 6/1.

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What is the significance of unit rates in real life?

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Unit rates help compare prices, speeds, and efficiencies, making it easier to make informed decisions, such as finding the best deal or the fastest route.

Front

If a car travels 150 miles using 5 gallons of gas, what is the unit rate in miles per gallon?

Back

The unit rate is calculated as 150 miles ÷ 5 gallons = 30 mpg.

Front

How do you find the price per item when given the total price and quantity?

Back

To find the price per item, divide the total price by the number of items. For example, if 10 apples cost $5, the price per apple is $5 ÷ 10 = $0.50.