Unit Rates and Proportional Relationships Review

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 one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin on a graph.

Front

What is the formula for finding a unit price?

Back

The unit price is found by dividing the total price by the number of units. For example, if a 12-pack of soda costs $6, the unit price is $6 ÷ 12 = $0.50 per soda.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar remains constant.

Front

What is the unit rate of 48 oz Slurpee for $1.44?

Back

The unit rate is $1.44 ÷ 48 oz = $0.03 per ounce.

Front

If Andy drove 28 miles in 25 hours, what is his speed in miles per hour?

Back

His speed is 28 miles ÷ 25 hours = 1.12 miles per hour.

Front

What is the relationship between the slope of a line and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant ratio between the two quantities.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the better deal: 48 oz Slurpee for $1.44 or 32 oz Coke for $0.96?

Back

They are both the same unit price of $0.03 per ounce.