Proportional vs Nonproportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are the same for all pairs.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a graph passes through the origin (0,0)?

Back

If a graph passes through the origin, it indicates a proportional relationship, as both quantities are zero at that point.

Tags

CCSS.7.RP.A.2D

Front

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

Back

In a proportional graph, the slope represents the constant ratio between the two quantities. It remains the same throughout the graph.

Tags

CCSS.7.RP.A.2D

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound, such as $2 per pound.

Tags

CCSS.7.RP.A.2A

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a video game rental fee that includes a flat fee plus a daily charge, such as $15 plus $3 per day.

Tags

CCSS.7.RP.A.2A

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line when plotted on a coordinate plane, indicating a constant rate of change.

Front

What is the difference between a proportional and a non-proportional graph?

Back

A proportional graph is linear and passes through the origin, while a non-proportional graph may not be linear and does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a table of values is non-proportional?

Back

A table of values is non-proportional if the ratios of y to x are not the same for all pairs of values.

Tags

CCSS.7.RP.A.2A