Proportional vs NonProportional

Front

What is a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

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

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 that the relationship is proportional, as both quantities are zero at that point.

Tags

CCSS.7.RP.A.2D

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 can be expressed in the form y = mx + b, where b is not equal to zero.

Tags

CCSS.8.EE.B.5

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified from a table of values if the ratio of y to x is constant for all pairs of values.

Tags

CCSS.7.RP.A.2A

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, and in a non-proportional relationship, it indicates the value of y when x is zero.

Tags

CCSS.HSF-IF.C.7A

Front

Can a graph be linear and non-proportional?

Back

Yes, a graph can be linear and non-proportional if it has a y-intercept that is not zero.

Tags

CCSS.8.EE.B.5

Front

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

Back

If a graph intersects the x-axis, it means that there is a value of x for which y equals zero, but this does not determine if the relationship is proportional or non-proportional.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A