Unit 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. It is often used to determine the cost per item or the speed per unit of time.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 12 apples for $6, the unit rate is $6 ÷ 12 apples = $0.50 per apple.

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If a person can complete a task in a certain amount of time, how do you find their rate of work?

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To find the rate of work, divide the total amount of work done by the total time taken. For example, if a person types 240 words in 3 minutes, their rate is 240 words ÷ 3 minutes = 80 words per minute.

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What is the significance of unit rates in real-life applications?

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Unit rates help consumers make informed decisions by comparing prices, speeds, or efficiencies. They allow for easy comparison between different products or services.

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How can you determine which product is a better buy using unit rates?

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To determine which product is a better buy, calculate the unit rate for each product and compare them. The product with the lower unit rate is the better buy.

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What is the unit rate of 15 miles in 3 hours?

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The unit rate is 15 miles ÷ 3 hours = 5 miles per hour.

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If 4 pounds of bananas cost $2.80, what is the cost per pound?

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The cost per pound is $2.80 ÷ 4 pounds = $0.70 per pound.

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How do you express a ratio as a unit rate?

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To express a ratio as a unit rate, simplify the ratio so that the second quantity is 1. For example, a ratio of 10 dogs to 5 cats can be expressed as 2 dogs per cat.

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What is the unit rate of 60 cookies for $12?

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The unit rate is $12 ÷ 60 cookies = $0.20 per cookie.

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How do you find the unit rate when given a fraction?

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To find the unit rate from a fraction, divide the numerator by the denominator. For example, if you have 3/4 of a gallon for $3, the unit rate is $3 ÷ (3/4) = $4 per gallon.