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.

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.

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).

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.

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.

Front

What is the constant of proportionality?

Back

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

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).

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.

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.

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.