Proportional vs 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. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This means that the quantities do not change in a consistent manner.

Front

How can you identify a proportional relationship?

Back

A proportional relationship can be identified if the graph of the relationship is a straight line that passes through the origin (0,0).

Front

How can you identify a non-proportional relationship?

Back

A non-proportional relationship can be identified if the graph of the relationship is not a straight line or does not pass through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Give an example of a proportional relationship.

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance traveled is proportional to the time spent traveling.

Front

Give 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 added to the cost.

Front

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

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional, as there is a fixed value that does not change with the other variable.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, which can be either proportional or non-proportional.

Front

What is the slope of a line in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality and is the same at all points on the line.