Proportional Relationships - 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 can you determine if two quantities are proportional using a table?

Back

To determine if two quantities are proportional using a table, check if the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table shows a proportional relationship?

Back

It means that as one quantity increases or decreases, the other quantity does so at a constant rate.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

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

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CCSS.7.RP.A.2B

Front

If a 20 pound bag of dog food costs $47.60, what is the cost per pound?

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a 36 pound bag of dog food costs $85.68, what is the cost per pound?

Back

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Are the prices of the dog food bags proportional?

Back

Yes, both bags have the same cost per pound, which indicates a proportional relationship.

Tags

CCSS.7.RP.A.2A

Front

What is the rate of change in a proportional relationship?

Back

The rate of change in a proportional relationship is the constant ratio between the two quantities.

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CCSS.7.RP.A.2B

Front

How do you find the rate of change from a table?

Back

To find the rate of change from a table, divide the change in the dependent variable by the change in the independent variable.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of corresponding values are not constant, indicating that the relationship is not proportional.

Tags

CCSS.7.RP.A.2A