Proportional/Non-proportional

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 the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two variables.

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified in a table of values if the ratios of corresponding x and y values are constant.

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 when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a relationship is described as 'non-proportional'?

Back

A non-proportional relationship means that the relationship between the two quantities does not maintain a constant ratio and does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality (k) and use the form y = kx.

Tags

CCSS.7.RP.A.2C