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 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 ratios of the corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x with k as the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

If y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Tags

CCSS.7.RP.A.2B

Front

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

Back

In a proportional relationship graph, the slope represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

Can a relationship be proportional if it passes through the origin?

Back

Yes, a proportional relationship always passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 2, as it does not maintain a constant ratio.

Tags

CCSS.7.RP.A.2D

Front

How do 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 and is straight.

Tags

CCSS.7.RP.A.2D

Front

What is the relationship between proportionality and direct variation?

Back

Proportionality is a type of direct variation where one variable is a constant multiple of another.

Tags

CCSS.7.RP.A.2D