Retake Flashcard - Proportional vs Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. This means that as one quantity increases or decreases, the other does so in a consistent manner. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change in a consistent manner. For example, y = x + 1 is a non-proportional relationship.

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 corresponding values (y/x) is constant for all pairs.

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 corresponding values (y/x) changes for different pairs.

Front

What does a straight line through the origin on a graph indicate?

Back

A straight line through the origin indicates a proportional relationship between the variables.

Front

What does a straight line not passing through the origin indicate on a graph?

Back

A straight line not passing through the origin indicates a non-proportional relationship between the variables.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is a non-zero constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can take the form y = mx + b, where b is not equal to zero.

Front

If y = 3x, what type of relationship is this?

Back

This is a proportional relationship because it can be expressed in the form y = kx, where k = 3.

Front

If y = 2x + 5, what type of relationship is this?

Back

This is a non-proportional relationship because it includes a constant term (5) that shifts the line up.