Proportional VS Non-Proportional (Graphs)

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, the other quantity increases at a consistent rate.

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 as one quantity increases, the other quantity does not increase at a consistent rate.

Front

What does it mean if a graph is a straight line that goes through the origin (0, 0)?

Back

If a graph is a straight line that goes through the origin (0, 0), it indicates a proportional relationship between the two variables.

Front

What does it mean if a graph is a straight line that does not go through the origin (0, 0)?

Back

If a graph is a straight line that does not go through the origin (0, 0), it indicates a non-proportional relationship between the two variables.

Front

How can you identify a proportional relationship from a table of values?

Back

In a table of values, a proportional relationship can be identified if the ratio of the values in one column to the values in another column is constant.

Front

How can you identify a non-proportional relationship from a table of values?

Back

In a table of values, a non-proportional relationship can be identified if the ratio of the values in one column to the values in another column is not constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and can be calculated as the change in the y-values divided by the change in the x-values.

Front

What is the slope of a non-proportional relationship?

Back

The slope of a non-proportional relationship can vary and is not constant throughout the graph.

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