Proportional vs nonproportional 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. 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 change in one quantity does not consistently correspond to a change in the other quantity.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

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

Back

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

Front

What is the equation of a proportional relationship?

Back

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

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

If the cost of 5 apples is $10, what is the cost of 1 apple?

Back

The cost of 1 apple is $2, indicating a proportional relationship.

Front

If the cost of 3 notebooks is $15 and the cost of 5 notebooks is $25, is this a proportional relationship?

Back

No, this is a non-proportional relationship because the cost does not increase at a constant rate.

Front

What does the slope of a line represent in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant ratio (k) between the two quantities.

Front

What is 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.