Unit Rate, Fractional Unit Rates, and Comparing Rates

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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 travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

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How do you calculate the unit price of an item?

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To calculate the unit price, divide the total price by the total quantity. For example, if a 7.2 oz bag of Goldfish costs $1.99, the unit price is $1.99 ÷ 7.2 oz.

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What is a fractional unit rate?

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A fractional unit rate is a unit rate that is expressed as a fraction. For example, if you buy 3 pounds of apples for $4.50, the unit rate is $4.50/3 = $1.50 per pound.

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How do you compare two rates?

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To compare two rates, convert them to the same unit or find their unit rates. The rate with the lower unit price or unit rate is the better deal.

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Calculate the unit price of Cheez-its if it costs $2.70 for 13.7 oz.

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Unit price = $2.70 ÷ 13.7 oz = $0.197 per ounce.

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If a 30 oz jar of mayonnaise costs $2.99, what is the price per ounce?

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Price per ounce = $2.99 ÷ 30 oz = $0.10 per ounce.

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What is the unit rate in dollars per pound if you spend $40 on 5 pounds of concrete?

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Unit rate = $40 ÷ 5 pounds = $8 per pound.

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How much does one adult movie ticket cost if 20 tickets cost $250?

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Cost per adult ticket = $250 ÷ 20 tickets = $12.50 per ticket.

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Niko completed 78 sit-ups in 2 minutes. What is his unit rate of sit-ups per minute?

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Unit rate = 78 sit-ups ÷ 2 minutes = 39 sit-ups per minute.

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What is the formula to find the unit rate?

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Unit Rate = Total Quantity ÷ Total Cost or Total Time.