Proportional Relationship/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 quantity is constant.

Tags

CCSS.7.RP.A.2A

Front

How do you identify a proportional relationship in a table?

Back

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

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CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

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CCSS.7.RP.A.2B

Front

If A is 4 and B is 12, what is the constant of proportionality?

Back

k = B/A = 12/4 = 3.

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CCSS.7.RP.A.2B

Front

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

Back

A non-proportional relationship means that the ratio between two quantities is not constant.

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CCSS.7.RP.A.2D

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 (0,0).

Tags

CCSS.7.RP.A.2D

Front

If a table shows (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio of B to A is constant (3).

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding a missing value in a proportional relationship?

Back

The formula is (A1/B1) = (A2/B2), where A1 and B1 are known values and A2 is the missing value.

Tags

CCSS.7.RP.A.2C

Front

If 1 gallon of water takes 3 minutes to use, how long will 5 gallons take?

Back

15 minutes (5 gallons x 3 minutes per gallon).

Tags

CCSS.6.RP.A.3B

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