Proportional vs Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

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

Front

Which equation represents a proportional relationship?

Back

y = 5x (This equation shows a constant ratio between x and y.)

Front

Which equation represents a non-proportional relationship?

Back

y = x + 3 (This equation does not maintain a constant ratio as it includes a constant term.)

Front

What must a graph do to be considered proportional?

Back

A graph must be a straight line and pass through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

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

Back

The slope represents the constant ratio between the two quantities in a proportional relationship.

Front

Can a curved line represent a proportional relationship?

Back

No, a curved line cannot represent a proportional relationship; it must be a straight line.

Front

What is an example of a proportional relationship in real life?

Back

An example 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 is the relationship between the number of items purchased and the total cost when there is a fixed delivery fee.