Proportional Relationships -- Tables, Equations, and Graphs

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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.

Tags

CCSS.7.RP.A.2A

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How can you identify a proportional relationship from a table?

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A table represents a proportional relationship if the ratios of corresponding values are equal.

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CCSS.7.RP.A.2D

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What is the constant of proportionality?

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The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

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CCSS.7.RP.A.2B

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How do you find the constant of proportionality from a graph?

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To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in the y-value to the change in the x-value.

Tags

CCSS.7.RP.A.2B

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What is the equation of a proportional relationship?

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The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

Front

How do you write an equation for a proportional relationship?

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To write an equation for a proportional relationship, identify the constant of proportionality and use the form y = kx.

Tags

CCSS.7.RP.A.2C

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What does it mean for a relationship to be non-proportional?

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A non-proportional relationship means that the ratio between the two quantities is not constant.

Tags

CCSS.7.RP.A.2D

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How can you determine which option is a better deal using proportional relationships?

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To determine which option is a better deal, compare the unit rates of each option, which can be calculated using the constant of proportionality.

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

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The slope of the graph in a proportional relationship represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

How do you convert a proportional relationship from a table to an equation?

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To convert a proportional relationship from a table to an equation, identify the constant of proportionality from the table and use it to write the equation in the form y = kx.

Tags

CCSS.7.RP.A.2C