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 quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This means that the quantities do not change in a consistent manner.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph. This indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship can be identified on a graph if the line is straight and passes through the origin.

Front

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

Back

If a graph intersects the y-axis, it means that there is a point where the value of the x-coordinate is zero, and the graph shows the corresponding value of the y-coordinate.

Front

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

Back

If a graph intersects the x-axis, it means that there is a point where the value of the y-coordinate is zero, and the graph shows the corresponding value of the x-coordinate.

Front

Can a graph be linear and non-proportional?

Back

Yes, a graph can be linear and non-proportional if it is a straight line that does not pass through the origin.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the 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 in real life?

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 overtime pay.