Unit Rates and Ratio Tables

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 a quantity of one. For example, if you buy 12 apples for $3, the unit rate is $0.25 per apple.

Front

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

Back

To find the unit rate, divide the total cost by the quantity. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form a ratio. It helps to visualize the relationship between two quantities.

Front

How do you solve for a missing value in a ratio table?

Back

To solve for a missing value in a ratio table, use the known ratios to set up a proportion and solve for the unknown value.

Front

If 7 apples cost $4.55, how do you find the cost per apple?

Back

To find the cost per apple, divide the total cost by the number of apples: $4.55 ÷ 7 = $0.65 per apple.

Front

What is the formula to calculate speed?

Back

Speed = Distance ÷ Time. For example, if a car travels 182.4 miles in 3 hours, the speed is 182.4 ÷ 3 = 60.8 miles per hour.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form. For example, the ratio 4:8 simplifies to 1:2.

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How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, the ratio 3:4 can be expressed as 3/4.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. For example, if 1/2 = 2/4, then the ratios are proportional.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the second number and multiply by 100. For example, the ratio 1:4 converts to (1 ÷ 4) × 100 = 25%.