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 where the ratio of one quantity to another is not constant.

Front

What does it mean for a graph to be proportional?

Back

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

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

Identify if the following relationship is proportional: y = 4x.

Back

Proportional.

Front

Identify if the following relationship is proportional: y = 2x + 3.

Back

Nonproportional.

Front

What is the key feature of a proportional graph?

Back

The key feature is that it is a straight line that passes through the origin.

Front

If a table shows the values (1,2), (2,4), (3,6), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship.

Front

If a table shows the values (1,2), (2,5), (3,8), does it represent a proportional relationship?

Back

No, it does not represent a proportional relationship.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.