Identify Proportional and Non-Proportional Relationships

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What is a proportional relationship?

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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

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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 is not constant.

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CCSS.7.RP.A.2D

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How can you identify a proportional relationship from a graph?

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A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

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CCSS.7.RP.A.2D

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What does it mean if a graph does not pass through the origin?

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If a graph does not pass through the origin, it indicates a non-proportional relationship.

Tags

CCSS.7.RP.A.2D

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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 earning a fixed hourly wage, such as $10 per hour.

Tags

CCSS.7.RP.A.2A

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

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An example of a non-proportional relationship is a gym membership that has a fixed fee plus a variable hourly charge.

Tags

CCSS.7.RP.A.2D

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What is the formula for a proportional relationship?

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The formula for 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

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What is the constant of proportionality?

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The constant of proportionality is the constant value (k) that relates two proportional quantities.

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CCSS.7.RP.A.2B

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How do you determine if a set of data points represents a proportional relationship?

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To determine if a set of data points represents a proportional relationship, check if the ratios of corresponding values are equal.

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CCSS.7.RP.A.2D

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What is the significance of the slope in a proportional relationship?

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In a proportional relationship, the slope of the line represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D