Proportional & Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities increase or decrease at the same rate, meaning their ratio remains constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not maintain a constant ratio, meaning they do not increase or decrease at the same rate.

Front

How can you identify a proportional relationship in a graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

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

Back

In a graph, a non-proportional relationship is represented by a straight line that does not pass through the origin or a curve.

Front

What does it mean if a table shows a proportional relationship?

Back

If a table shows a proportional relationship, the ratio of x to y is constant for all pairs of values.

Front

What does it mean if a table shows a non-proportional relationship?

Back

If a table shows a non-proportional relationship, the ratio of x to y changes for different pairs of values.

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 if there is a fixed salary plus overtime.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that describes how one quantity changes in relation to another in a proportional relationship.

Front

If y = 2x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (2).