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

How can you identify a proportional relationship from a table?

Back

If the ratios of corresponding values are the same for all pairs, then the relationship is proportional.

Front

What does it mean if a graph is 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

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

How can you tell if a graph is non-proportional?

Back

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

Front

What does it mean if every time you divide two numbers you get the same answer?

Back

It means that the relationship between those two numbers is proportional.

Front

What does it mean if every time you divide two numbers you get a different answer?

Back

It means that the relationship between those two numbers is non-proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Front

Can a linear equation represent a proportional relationship?

Back

Yes, a linear equation can represent a proportional relationship if it passes through the origin.