Identify 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 quantity is constant.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

What does it mean if a relationship has a zero, zero pair?

Back

It means that when both quantities are zero, the relationship is proportional.

Front

If Amy charges $11 for her labor plus $2 for each cupcake, is this proportional?

Back

No, it is nonproportional because she does not start at $0.

Front

What is the significance of starting at $0 in proportional relationships?

Back

Starting at $0 indicates that the relationship is proportional, as both quantities are zero.

Front

If Sierra completed 8 IXL problems and resumed at a constant rate, is this proportional?

Back

No, it is nonproportional because she resumed at problem #9.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

If a relationship is represented by the equation y = 3x, is it proportional?

Back

Yes, it is proportional because it can be expressed as a constant ratio.

Front

What is an example of a proportional relationship in real life?

Back

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