Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

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CCSS.7.RP.A.2A

Front

What is the equation of a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

Front

If a table shows values of x and y, how do you find the constant of proportionality?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table.

Tags

CCSS.7.RP.A.2B

Front

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.

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CCSS.7.RP.A.2D

Front

Can a proportional relationship be represented by a graph?

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Yes, a proportional relationship can be represented by a straight line that passes through the origin (0,0) on a graph.

Tags

CCSS.7.RP.A.2D

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

Back

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

Front

How do you write an equation for a proportional relationship given a constant of proportionality?

Back

If the constant of proportionality is k, the equation can be written as y = kx.

Tags

CCSS.7.RP.A.2C

Front

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

Back

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

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CCSS.7.RP.A.2D

Front

How can you identify proportional relationships from multiple tables?

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You can identify proportional relationships by checking if the ratios of corresponding values are equal across the tables.

Tags

CCSS.7.RP.A.2D