Proportional vs. NonProportional Relationships

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 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 a relationship between two quantities where the ratio is not constant. This means that the change in one quantity does not consistently correspond to a change in the other.

Tags

CCSS.7.RP.A.2D

Front

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

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship, as both quantities are zero at that point.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if a relationship is proportional using a table of values?

Back

A relationship is proportional if the ratios of corresponding values in the table are constant. If the ratios vary, the relationship is non-proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph crosses the y-axis. In a proportional relationship, the y-intercept is always zero.

Tags

CCSS.HSF-IF.C.7A

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if it does not pass through the origin or if it has a y-intercept that is not zero.

Tags

CCSS.7.RP.A.2D

Front

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

Back

An example of a proportional relationship is the cost of apples if each apple costs the same amount. For instance, if each apple costs $2, then 3 apples cost $6, maintaining a constant ratio.

Tags

CCSS.7.RP.A.2A

Front

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

Back

An example of a non-proportional relationship is a taxi fare that includes a base charge plus a per-mile charge. The total cost does not maintain a constant ratio to the distance traveled.

Tags

CCSS.7.RP.A.2D