Proportional & Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities increase or decrease at the same rate, meaning they have a constant ratio.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not have a constant ratio, meaning they do not increase or decrease at the same rate.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is proportional?

Back

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

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What does it mean for a line to go through the origin?

Back

It means that the line crosses the point (0,0) on the graph.

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

If Craig earns $9.25 per hour, how much does he earn for 5 hours?

Back

$46.25 (calculated as 5 hours x $9.25/hour).

Tags

CCSS.6.NS.B.3

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the total amount earned and x is the number of hours worked.

Tags

CCSS.7.RP.A.2B

Front

If a graph shows a straight line that does not go through the origin, what type of relationship is it?

Back

It is a non-proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A