L3, S1 Understanding 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 quantity is constant.

Tags

CCSS.7.RP.A.2A

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 does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the unit rate or the factor by which one quantity changes in relation to another.

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CCSS.7.RP.A.2B

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the value of k in the equation y = kx, representing how much y changes for each unit change in x.

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CCSS.7.RP.A.2D

Front

If y = 45x, what is the unit rate?

Back

The unit rate is 45.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a table shows values (2, 6), (4, 12), (6, 18), does it represent a proportional relationship?

Back

Yes, because the ratios (y/x) are constant: 3.

Tags

CCSS.7.RP.A.2A

Front

What is the missing value of B if A = 3 and the proportional relationship is y = 11A?

Back

B = 33.

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CCSS.7.RP.A.2B

Front

How do 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 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