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 does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

What is the significance of the origin in a proportional graph?

Back

A proportional graph must pass through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Tags

CCSS.7.RP.A.2D

Front

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

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

Can a straight line be non-proportional?

Back

Yes, a straight line can be non-proportional if it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line, which is the change in y over the change in x.

Tags

CCSS.7.RP.A.2B

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A