Proportional vs Non-proportional (Graphing)

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. This means that as one quantity increases or decreases, the other does so in a consistent manner.

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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant, meaning the graph does not form a straight line through the origin.

Front

How can you identify a proportional graph?

Back

A proportional graph can be identified by checking if it is a straight line that passes through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero, maintaining a constant ratio.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis at a point other than the origin, it indicates a non-proportional relationship.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is constant and represents the ratio of the change in the y-value to the change in the x-value.

Front

Can a curvy line represent a proportional relationship?

Back

No, a curvy line cannot represent a proportional relationship because it does not maintain a constant ratio between the two quantities.

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 the total pay if there is a fixed salary plus hourly pay.