Proportional vs NonProportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Tags

CCSS.7.RP.A.2D

Front

What does the equation y = 3.75x + 2 represent?

Back

This equation represents a non-proportional relationship because it has a y-intercept of 2, meaning it does not pass through the origin.

Tags

CCSS.8.EE.B.5

Front

What does the equation y = 75x represent?

Back

This equation represents a proportional relationship because it passes through the origin (0,0) and maintains a constant ratio.

Tags

CCSS.7.RP.A.2C

Front

How can you determine if a table of values is proportional?

Back

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

Tags

CCSS.7.RP.A.2A

Front

What indicates a proportional relationship in a graph?

Back

A proportional relationship in a graph is indicated by a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the y-intercept in determining proportionality?

Back

If the y-intercept is not zero, the relationship is non-proportional; if it is zero, the relationship may be proportional.

Tags

CCSS.7.RP.A.2D

Front

Can a relationship be proportional if it has a y-intercept?

Back

No, a relationship cannot be proportional if it has a y-intercept other than zero.

Tags

CCSS.7.RP.A.2D

Front

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 at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

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

Back

An example of a non-proportional relationship is the cost of a phone plan that has a fixed monthly fee plus a charge per minute.

Tags

CCSS.7.RP.A.2D