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 ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

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CCSS.7.RP.A.2B

Front

How do you find the missing value in a proportional table?

Back

To find the missing value, use the constant of proportionality to set up a proportion and solve for the unknown.

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CCSS.7.RP.A.2C

Front

What does it mean if a table is proportional?

Back

If a table is proportional, it means that as one quantity increases or decreases, the other quantity does so at a constant rate.

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CCSS.7.RP.A.2D

Front

How can you express a proportional relationship as an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

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CCSS.7.RP.A.2B

Front

What is the equation for a proportional relationship with a constant of 8?

Back

The equation is y = 8x.

Tags

CCSS.7.RP.A.2C

Front

How do you determine if a relationship is proportional from a table?

Back

Check if the ratios of corresponding values are equal; if they are, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality if the table shows values (2, 6), (4, 12), (6, 18)?

Back

The constant of proportionality is 3, since 6/2 = 12/4 = 18/6 = 3.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is 1/4, what is the equation?

Back

The equation is y = (1/4)x.

Tags

CCSS.7.RP.A.2C