Proportional vs Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant. This can occur when one quantity increases or decreases at a different rate than the other.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified on a graph by a straight line that passes through the origin (0,0).

Front

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

Back

A non-proportional relationship can be identified on a graph by a straight line that does not pass through the origin or by a curve.

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 the constant of proportionality.

Front

What is the equation of a non-proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between the two quantities in a proportional relationship.

Front

Can a proportional relationship have a y-intercept other than zero?

Back

No, a proportional relationship cannot have a y-intercept other than zero, as it must pass through the origin.

Front

What is 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

What is 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 total pay when there is a base salary plus hourly wages.