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 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 does the equation y = 5x - 7 represent?

Back

The equation y = 5x - 7 represents a non-proportional relationship because it includes a constant term (-7) that affects the ratio.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a fraction with a denominator of one.

Front

If you travel 150 miles on 5 gallons, how far do you travel per gallon?

Back

30 miles per gallon.

Front

Which of the following is a proportional relationship: y = 3x or y = 5x - 7?

Back

y = 3x is a proportional relationship; y = 5x - 7 is not.

Front

What is the unit rate for 405 rotations in 5 minutes?

Back

81 rotations per minute.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the definition of a constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

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

Back

Yes, this is a proportional relationship because the ratio of flour to sugar remains constant.