Proportional/Non-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 is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship, where k is the constant of proportionality.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one.

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

Back

It indicates that the relationship is non-proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If y = 3x + 2, is this a proportional relationship?

Back

No, because it does not pass through the origin.

Front

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

Back

Speed is a proportional relationship; for example, traveling at 60 miles per hour means you travel 60 miles in one hour.

Front

What is an example of a non-proportional relationship?

Back

The cost of a taxi ride that has a base fare plus a per-mile charge is non-proportional.