Unit Rate

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 one unit. It is often used to determine the cost per item or the speed per hour.

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

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To calculate the unit rate, divide the total cost by the quantity. For example, if 3 pounds of granola cost $3.75, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

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If a person can complete a task in a certain 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 Justin types 408 words in 4 minutes, his rate is 408 ÷ 4 = 102 words per minute.

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What does it mean to simplify a ratio?

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Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor. For example, the ratio 35:14 simplifies to 5:2.

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How do you find the cost of one item from a total cost and quantity?

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To find the cost of one item, divide the total cost by the number of items. For example, if 15 child tickets cost $71.25, the cost per child ticket is $71.25 ÷ 15 = $4.75.

Front

What is the unit rate in hours per dollar if someone earns a certain amount in a given time?

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To find the unit rate in hours per dollar, divide the total hours worked by the total amount earned. For example, if Saydee earned $20 in 4 hours, her unit rate is 4 ÷ 20 = 0.2 hours per dollar.

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What is the formula for calculating unit price?

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The formula for calculating unit price is: Unit Price = Total Price ÷ Quantity.

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How can unit rates help in making financial decisions?

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Unit rates help compare prices and determine the best value for money, allowing consumers to make informed purchasing decisions.

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What is the significance of understanding ratios in real-life situations?

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Understanding ratios helps in comparing quantities, making decisions based on proportions, and solving problems related to scaling and mixing.

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How do you convert a ratio into a fraction?

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To convert a ratio into a fraction, write the first term as the numerator and the second term as the denominator. For example, the ratio 5:2 can be written as the fraction 5/2.