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. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This means that the quantities do not change in a consistent manner.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is identified by a straight line that passes through the origin (0,0).

Front

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

Back

A non-proportional relationship on a graph is identified by a straight line that does not pass through the origin or by a curve.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates that there is a proportional relationship between the two quantities represented.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that there is a non-proportional relationship between the two quantities represented.

Front

What is 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

What is 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 hours worked and the total pay if there is a fixed salary plus overtime.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant ratio between the two quantities.

Front

What is the slope of a line in a non-proportional relationship?

Back

The slope of a line in a non-proportional relationship can change, indicating that the ratio between the two quantities is not constant.