Proportional 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 the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Tags

CCSS.7.RP.A.2B

Front

Which equation represents a proportional relationship? y = x + 3, y = x - 9, y = 7x, y = 4x + 1

Back

y = 7x

Tags

CCSS.7.RP.A.2C

Front

Does the graph represent a proportional relationship? (Provide a graph showing a straight line through the origin)

Back

Yes, if the line passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

Does the graph represent a proportional relationship? (Provide a graph showing a straight line not through the origin)

Back

No, if the line does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if a table represents a proportional relationship?

Back

Check if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

If y = 5x, what is the constant of proportionality?

Back

5

Tags

CCSS.7.RP.A.2B

Front

If a table shows (2, 30), (4, 60), (6, 90), does it represent a proportional relationship?

Back

Yes, because the ratio of y to x is constant (15).

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio of the two quantities is not constant.

Tags

CCSS.7.RP.A.2A

Front

If the constant of proportionality is 10, what is y when x = 3?

Back

y = 10 * 3 = 30.

Tags

CCSS.7.RP.A.2B