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 quantity is constant.

Tags

CCSS.7.RP.A.2A

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How can you identify if a graph represents a proportional relationship?

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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 is the constant of proportionality?

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The constant of proportionality (k) is the constant ratio between two proportional quantities, often represented as k = y/x.

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CCSS.7.RP.A.2B

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How do you write an equation for a proportional relationship?

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

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CCSS.7.RP.A.2C

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What does it mean if an equation does not represent a proportional relationship?

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If an equation does not represent a proportional relationship, it means that the ratio of y to x is not constant.

Tags

CCSS.7.RP.A.2C

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How can you determine the constant of proportionality from a table of values?

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To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Tags

CCSS.7.RP.A.2B

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What is the significance of the origin in proportional relationships?

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In proportional relationships, the origin (0,0) signifies that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D

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Can a proportional relationship be represented by a nonlinear graph?

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No, a proportional relationship cannot be represented by a nonlinear graph; it must be a straight line through the origin.

Tags

CCSS.7.RP.A.2D

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What is the formula to find the constant of proportionality (k)?

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The formula to find the constant of proportionality is k = y/x.

Tags

CCSS.7.RP.A.2B

Front

How do you verify if a set of points forms a proportional relationship?

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To verify if a set of points forms a proportional relationship, check if the ratios of y to x for all points are equal.

Tags

CCSS.7.RP.A.2D