Proportional/Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if y is directly proportional to x, then y = kx, where k is a constant.

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. This means that as one quantity changes, the other does not change at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

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

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are the same for all pairs of values in the table.

Tags

CCSS.7.RP.A.2A

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality, indicating the rate at which y changes with respect to x.

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that describes the relationship between y and x in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx, where k = 3.

Tags

CCSS.7.RP.A.2A

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 between the two variables represented on the axes.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if an equation is non-proportional?

Back

An equation is non-proportional if it cannot be expressed in the form y = kx, or if it includes a constant term that does not equal zero.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, where the addition of 3 means the ratio between y and x is not constant.

Tags

CCSS.7.RP.A.2D