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 in real life.

Back

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

Front

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay when there is a base salary plus overtime pay.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to zero.

Front

What does it mean if a graph crosses the y-axis at a point other than zero?

Back

If a graph crosses the y-axis at a point other than zero, it indicates a non-proportional relationship.