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 is constant.

Tags

CCSS.7.RP.A.2A

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What is the constant of proportionality?

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The constant of proportionality is the constant value (m) that relates two proportional quantities, often represented as y = mx.

Tags

CCSS.7.RP.A.2B

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

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To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Tags

CCSS.7.RP.A.2B

Front

What does a graph of a proportional relationship look like?

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

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CCSS.7.RP.A.2D

Front

If m = 9, what does this mean in a proportional relationship?

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It means that for every unit increase in one quantity, the other quantity increases by 9 times that amount.

Tags

CCSS.7.RP.A.2B

Front

What is the formula for a proportional relationship?

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The formula for a proportional relationship is y = mx, where m is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

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How can you tell if a table represents a proportional relationship?

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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 an example of a proportional relationship in real life?

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

Tags

CCSS.7.RP.A.2A

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What does it mean if a relationship is 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

Front

How do you simplify a fraction to find the constant of proportionality?

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To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).