Proportional Relationship Review

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 can you tell if a table represents a proportional relationship?

Back

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

Front

Which equation represents a proportional relationship? y = x/2, y = 10 + x, y = 14 - x, y = 5x + 8

Back

y = x/2 is a proportional relationship because it can be expressed as y = kx, where k is a constant.

Front

Does the graph of a proportional relationship pass through the origin?

Back

Yes, the graph of a proportional relationship passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

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

Back

Divide the total miles by the total gallons: 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What does it mean 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

How can you identify a proportional relationship from a graph?

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.