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

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

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CCSS.7.RP.A.2D

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Tags

CCSS.7.RP.A.2B

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2A

Front

If a table shows values (1, 2), (2, 5), (3, 6), does it represent a proportional relationship?

Back

No, because the ratios are not constant.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality for the table: (1, 45), (2, 90), (3, 135)?

Back

The constant of proportionality is 45.

Tags

CCSS.7.RP.A.2B

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not have a constant ratio and does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2B