Proportional & Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities increase or decrease at the same rate, and the graph of the relationship is a straight line that passes through the origin.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it means that when one quantity is zero, the other quantity is also zero, indicating a proportional relationship.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not increase or decrease at the same rate, and the graph does not pass through the origin.

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that 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 shows the value of the dependent variable when the independent variable is zero, but it does not determine if the relationship is proportional.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between the number of apples and the total cost if each apple costs the same amount.

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 an hourly rate.

Front

What does it mean if a graph is non-proportional?

Back

If a graph is non-proportional, it means that the relationship between the two quantities does not maintain a constant ratio.

Front

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

Back

The slope in a proportional relationship represents the constant rate of change between the two quantities.

Front

Can a graph be both proportional and non-proportional?

Back

No, a graph cannot be both proportional and non-proportional; it must fit one definition or the other.