Proportional Relationships in Tables

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

How do you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equal.

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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.

Tags

CCSS.7.RP.A.2C

Front

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

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

If the table shows values (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, because the ratios (6/2, 12/4, 18/6) are all equal to 3.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratios of the quantities are not constant.

Tags

CCSS.7.RP.A.2A

Front

How can you find the missing value in a proportional relationship?

Back

You can find the missing value by setting up a proportion and solving for the unknown.

Tags

CCSS.7.RP.A.2C

Front

What is the formula to find the constant of proportionality from a table?

Back

The constant of proportionality (k) can be found using the formula k = y/x for any pair of corresponding values.

Tags

CCSS.7.RP.A.2B

Front

If y = 9x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, since the relationship is proportional.