Identify Proportional and Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, in the equation y = 2x + 3, the relationship is non-proportional because the addition of 3 changes the ratio.

Front

Does the equation y = 2x - 5 show a proportional relationship?

Back

No, because it does not maintain a constant ratio.

Front

How can you determine if a relationship is proportional?

Back

You can determine if a relationship is proportional by checking if the ratio of y to x is constant for all values.

Front

What does it mean if every time you divide y by x you get the same answer?

Back

It means that the relationship is proportional.

Front

What does it mean if every time you divide y by x you get a different answer?

Back

It means that the relationship is non-proportional.

Front

If Sofia finishes her IXL at a constant rate of 4 problems per minute, is this proportional or non-proportional?

Back

Proportional, because she completes the same number of problems every minute.

Front

Does the table represent a proportional relationship if the values do not maintain a constant ratio?

Back

No, it does not represent a proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that relates the two quantities.

Front

Give 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.