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.

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.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship in a 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

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

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 the constant of proportionality.

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CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

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

Back

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

Tags

CCSS.7.RP.A.2B

Front

If a table shows the values (1,2), (2,4), (3,6), is this proportional?

Back

Yes, because the ratio of y to x is constant (2:1).

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 y = x + 2, as it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a set of data is proportional?

Back

To determine if a set of data is proportional, check if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A