Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a straight line, indicating a constant ratio between the two variables.

Front

If Alexis used 2.5 cups of oreo bits for 10 people, how much oreo is in one serving?

Back

To find the amount of oreo bits per serving, divide 2.5 cups by 10 servings: 2.5 ÷ 10 = 0.25 cups per serving.

Front

How do you compare two proportional relationships?

Back

To compare two proportional relationships, find the unit rate for each and see if they are equal. If they are, the relationships are proportional.

Front

What is the formula for finding the total amount in a proportional relationship?

Back

The formula is: Total Amount = Unit Rate × Number of Units.

Front

If Perry earned $96 for 8 driveways, how much did he earn per driveway?

Back

To find the earnings per driveway, divide $96 by 8 driveways: $96 ÷ 8 = $12 per driveway.

Front

How do you determine if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the quantities are not constant or if the graph does not pass through the origin.

Front

What is the relationship between the amount of water and flour in Jasmin's cake recipe?

Back

The relationship is proportional; for every 1/4 cup of water, there is 1/2 cup of flour.

Front

If Kaden used 1.6 cups of oreo bits for 8 people, how much oreo is in one serving?

Back

To find the amount of oreo bits per serving, divide 1.6 cups by 8 servings: 1.6 ÷ 8 = 0.2 cups per serving.