Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning that as one quantity changes, the other changes at a consistent rate.

Front

How can you identify a proportional relationship in a graph?

Back

A graph represents a proportional relationship if the line passes through the origin (0,0) and is straight.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratio of the values in one column to the corresponding values in another column is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning that the relationship does not maintain a consistent rate of change.

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 the line is not straight.

Front

What is the significance of the origin in determining proportionality?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point, indicating that when one quantity is zero, the other is also zero.

Front

Can a relationship be partially proportional?

Back

No, a relationship is either proportional or non-proportional; there is no partial proportionality.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and represents the ratio of the change in the dependent variable to the change in the independent variable.

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?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and total pay if there is a fixed salary plus overtime pay.