Proportional vs Nonproportional 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 is constant.

Tags

CCSS.7.RP.A.2A

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

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CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0).

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CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

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

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CCSS.7.RP.A.2B

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis at a point other than the origin, it indicates a nonproportional relationship.

Tags

CCSS.7.RP.A.2D

Front

Write an equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x.

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CCSS.7.RP.A.2C

Front

Is the relationship described by the equation y = 4x + 2 proportional or nonproportional?

Back

Nonproportional, because it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

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

Back

An example is the cost of apples at a store, where each apple costs the same amount.

Tags

CCSS.7.RP.A.2A

Front

If the cost of 3 bags of popcorn is $7.50, what is the cost per bag?

Back

The cost per bag is $2.50, indicating a proportional relationship.

Tags

CCSS.7.RP.A.2A