1.7 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.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

How can you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship can be identified if the graph does not pass through the origin.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.

Front

If a graph is linear but does not pass through the origin, is it proportional?

Back

No, if a graph is linear but does not pass through the origin, it is not a proportional relationship.

Front

What does it mean if the constant of proportionality is $9?

Back

It means that for every unit increase in one quantity, the other quantity increases by $9.

Front

Can a curvy line represent a proportional relationship?

Back

No, a curvy line cannot represent a proportional relationship; it must be a straight line.

Front

What is the significance of the origin in proportional relationships?

Back

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