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 a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate from a ratio, divide the first quantity by the second quantity. For example, if the ratio is 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

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

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 1 minute?

Back

To find the calories burned per minute, divide 120 calories by 30 minutes. Hilbert burns 4 calories per minute.

Front

What is the formula to calculate the cost per item?

Back

The formula to calculate the cost per item is: Cost per item = Total cost ÷ Number of items.

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 missing value in a ratio table?

Back

The missing value in a ratio table can be found by using equivalent ratios or by setting up a proportion.

Front

How do you set up a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if you know that 120 calories in 30 minutes is equivalent to 'a' calories in 'b' minutes, you can set up the proportion: 120/30 = a/b.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio of 3 to 4 can be written as the fraction 3/4.

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How can you use a ratio table to solve problems?

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You can use a ratio table to solve problems by filling in known values and using them to find unknown values through multiplication or division.