Rates, Unit Rates and Equivalent Ratios

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What is a rate?

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A rate is a ratio that compares two different quantities, often with different units, such as speed (miles per hour) or cost (dollars per item).

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What is a unit rate?

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A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the first quantity by the second quantity. For example, if you earn $30 for 5 hours of work, the unit rate is $30 ÷ 5 = $6 per hour.

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What is an equivalent ratio?

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Equivalent ratios are two or more ratios that express the same relationship between quantities. For example, 1:2 and 2:4 are equivalent ratios.

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How do you find equivalent ratios?

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To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying 2:3 by 2 gives 4:6.

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If Sam drives 50 miles in 2 hours, what is his speed in miles per hour?

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Sam's speed is 25 miles per hour (50 miles ÷ 2 hours).

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If a bowler scores 3,152 points in 16 games, how do you find the average score per game?

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To find the average score, divide the total points by the number of games: 3,152 ÷ 16 = 197 points per game.

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How do you calculate pay per hour from total pay and hours worked?

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To calculate pay per hour, divide the total pay by the number of hours worked. For example, $237.50 ÷ 25 hours = $9.50 per hour.

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What is the formula for average speed?

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Average speed is calculated by dividing the total distance traveled by the total time taken. Formula: Average Speed = Total Distance ÷ Total Time.

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If a job pays $56 for 8 hours, how much is the pay per hour?

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The pay per hour is $7.00 ($56 ÷ 8 hours).