Proportional vs NonProportional

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 quantity 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 affect the other quantity.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional graph?

Back

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

Tags

CCSS.7.RP.A.2D

Front

How can you identify a non-proportional graph?

Back

A graph represents a non-proportional relationship if it is not a straight line or if it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it means that the value of the dependent variable is not zero when the independent variable is zero, indicating a non-proportional relationship.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a graph intersects the x-axis?

Back

If a graph intersects the x-axis, it means that the value of the dependent variable is zero at some point, but this does not determine if the relationship is proportional or non-proportional.

Tags

CCSS.HSF-IF.C.7A

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2C

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship may include a constant term, such as y = kx + b, where b is not equal to zero.

Tags

CCSS.8.EE.B.5

Front

Does the equation y = 3x represent a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx, where k = 3.

Tags

CCSS.7.RP.A.2C

Front

Does the equation y = 3x + 2 represent a proportional relationship?

Back

No, because it includes a constant term (2) that shifts the graph up, meaning it does not pass through the origin.

Tags

CCSS.7.RP.A.2D