Unit Rates

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What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

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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 a box of 35 diapers costs $6.99, the unit rate is $6.99 ÷ 35 = $0.20 per diaper.

Front

If Lynnette washes 95 cars in 5 days, how do you find the number of cars she washes per day?

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Divide the total number of cars by the number of days: 95 cars ÷ 5 days = 19 cars per day.

Front

What is the unit rate of miles per gallon (mpg)?

Back

The unit rate of miles per gallon (mpg) is calculated by dividing the total miles driven by the total gallons of gas used.

Front

If Sam drove 220 miles on 8 gallons of gas, what is his unit rate in mpg?

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To find the unit rate, divide the miles by gallons: 220 miles ÷ 8 gallons = 27.5 mpg.

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How can you express a rate of $9 per hour in terms of total earnings over multiple hours?

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To express $9 per hour in terms of total earnings, multiply the hourly rate by the number of hours worked. For example, in 3 hours, it would be $9 × 3 = $27.

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What is the unit rate if Joshua drove 90 miles on 15 gallons of gas?

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To find the unit rate, divide the miles by gallons: 90 miles ÷ 15 gallons = 6 mpg.

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Why is it important to understand unit rates in real-life applications?

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Understanding unit rates helps in making informed decisions, such as comparing prices, evaluating fuel efficiency, and understanding productivity.

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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 do you convert a rate to a unit rate?

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To convert a rate to a unit rate, divide both the numerator and the denominator by the denominator's value to express it per one unit.