Proportions and Unit Rates

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is the formula for finding the cost per item?

Back

The formula for finding the cost per item is: Total Cost ÷ Number of Items.

Front

If 5 ice cream bars cost $12.25, how do you find the price of one ice cream bar?

Back

Divide the total cost by the number of ice cream bars: $12.25 ÷ 5 = $2.45.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of proportion where one of the quantities is 1.

Front

How can you use proportions to solve real-world problems?

Back

You can set up a proportion to compare two ratios and solve for an unknown quantity.

Front

What is the significance of unit rates in shopping?

Back

Unit rates help consumers compare prices to determine the best value for their money.

Front

If there are 5 ice cream cones for every 3 brownies, how do you find the number of cones sold if 24 brownies were sold?

Back

Set up a proportion: 5 cones/3 brownies = x cones/24 brownies. Cross-multiply and solve for x.

Front

What is the unit rate of slices of pizza if a pizza with 8 slices costs $12?

Back

The unit rate is $12 ÷ 8 slices = $1.50 per slice.