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 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

If Jane mixes 3 lemons with 2 cups of water for 2 drinks, how many lemons and cups of water does she need for 6 drinks?

Back

Jane needs 9 lemons and 6 cups of water to triple her recipe.

Front

Which equation represents a proportional relationship?

Back

y = 3x represents a proportional relationship because it passes through the origin and has a constant ratio.

Front

What is the unit rate if a table shows 200 units for 2 hours?

Back

The unit rate is 100 units per hour.

Front

What does it mean if a table is not proportional?

Back

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

Front

Identify a non-proportional equation: y = 5x - 7 or y = 2x.

Back

y = 5x - 7 is a non-proportional equation because it has a y-intercept of -7.

Front

What is the unit rate of 810 rotations in 10 minutes?

Back

The unit rate is 81 rotations per minute.

Front

If a recipe calls for 4 cups of flour for 8 servings, how much flour is needed for 16 servings?

Back

You need 8 cups of flour for 16 servings.

Front

What is the definition of unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.