Proportional/Non-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 is constant.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Tags

CCSS.7.RP.A.2D

Front

What does the constant of proportionality represent?

Back

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

Tags

CCSS.7.RP.A.2B

Front

How can you identify a proportional relationship from an equation?

Back

An equation shows a proportional relationship if it can be expressed in the form y = kx, where k is a non-zero constant.

Tags

CCSS.7.RP.A.2C

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

If the graph of a relationship passes through the origin, what can be inferred?

Back

If the graph passes through the origin, it indicates a proportional relationship.

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 cost of apples if they are sold at a constant price per pound.

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 a taxi fare that includes a base fee plus a charge per mile.

Tags

CCSS.7.RP.A.2D

Front

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

Back

A table of values represents a proportional relationship if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2D