Equations of Proportional Relationships

Front

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

Write the equation for a proportional relationship where y is 4 times x.

Back

y = 4x

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CCSS.7.RP.A.2C

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

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CCSS.7.RP.A.2B

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What does the equation m = 15h represent?

Back

This equation represents the total money (m) earned based on the number of hours (h) worked at a rate of $15 per hour.

Tags

CCSS.HSF.LE.B.5

Front

If the equation is y = 3x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, since the relationship is proportional.

Front

What is the equation for a proportional relationship if the constant of proportionality is 10?

Back

y = 10x

Tags

CCSS.7.RP.A.2C

Front

How can you express a proportional relationship using a graph?

Back

A proportional relationship can be expressed as a straight line that passes through the origin (0,0) on a graph.

Tags

CCSS.7.RP.A.2D

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

In a proportional relationship, the ratio between the two quantities is constant, while in a non-proportional relationship, the ratio changes.

Tags

CCSS.7.RP.A.2D