Identify Proportional and Non-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 is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

How can you identify a non-proportional relationship in a graph?

Back

A graph represents a non-proportional relationship if it is not a straight line or does not pass through the origin.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship may include a constant term, such as y = kx + b, where b is not zero.

Front

What does a table of values for a proportional relationship look like?

Back

In a table of values for a proportional relationship, the ratios of corresponding values are constant.

Front

What does a table of values for a non-proportional relationship look like?

Back

In a table of values for a non-proportional relationship, the ratios of corresponding values vary.

Front

Give an example of a proportional relationship in real life.

Back

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

Front

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed shipping fee.