Writing Equations for Proportional Relationships

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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.

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CCSS.7.RP.A.2A

Front

What is the equation for a proportional relationship?

Back

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CCSS.7.RP.A.2C

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What does the constant of proportionality represent?

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The constant of proportionality represents the ratio between two quantities in a proportional relationship.

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CCSS.7.RP.A.2B

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How do you find the unit rate from a proportional graph?

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CCSS.7.RP.A.2D

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Back

This equation represents that for every hour worked (h), the total dollar amount (t) earned is 9 times the number of hours.

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CCSS.HSF.LE.B.5

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Back

This equation indicates that the number of gallons (g) is 5 times the time (t) spent.

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CCSS.6.EE.C.9

Front

What does the point (2,1) represent in a proportional relationship?

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The point (2,1) represents that for every 2 units of one quantity, there is 1 unit of the other quantity, but in this context, it is false for mixing paint.

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CCSS.7.RP.A.2D

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Back

This equation signifies that y is directly proportional to x, with k being the constant of proportionality.

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CCSS.7.RP.A.2C

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What does it mean if a graph passes through the origin in a proportional relationship?

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If a graph passes through the origin, it indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if two quantities are proportional?

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Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Tags

CCSS.7.RP.A.2A