Proportional / Nonproportional 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

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What is a non-proportional relationship?

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A non-proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is not constant.

Tags

CCSS.7.RP.A.2D

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How can you identify a proportional relationship from a graph?

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

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What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

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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 equal.

Tags

CCSS.7.RP.A.2A

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What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

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What is an example of a proportional relationship in real life?

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An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

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What is an example of a non-proportional relationship?

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An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in proportional relationships?

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The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D