Proportional vs Non Proportional Graphs

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 increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, leading to a varying relationship as one quantity changes.

Front

How can you identify a proportional graph?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional will have a straight line but will not pass through the origin, indicating a constant rate of change that does not start from zero.

Front

What is the significance of the origin in proportional graphs?

Back

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

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 items purchased and the total cost when there is a fixed delivery fee added.

Front

What does a non-linear graph indicate?

Back

A non-linear graph indicates that the relationship between the two variables is not constant and can change in a non-linear fashion, such as quadratic or exponential relationships.

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 dependent variable to the change in the independent variable.

Front

How can you tell if a graph is non-proportional by looking at its equation?

Back

If the equation of the graph includes a constant term (y = mx + b, where b ≠ 0), it indicates a non-proportional relationship.