Proportional v. 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

How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph passes through the origin (0,0) and forms a straight line.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for every one unit of another quantity.

Front

If a graph does not pass through the origin, what type of relationship does it represent?

Back

It represents a non-proportional relationship.

Front

What is the unit rate for 120 miles in 2 hours?

Back

60 miles/1 hour.

Front

If k = 3 in a proportional relationship, what does this mean?

Back

It means that for every 1 unit of x, y increases by 3 units.

Front

What is the significance of the y-intercept in a non-proportional graph?

Back

The y-intercept indicates the starting value when x is zero, which is not zero in non-proportional relationships.

Front

Can a relationship be proportional if it has a y-intercept other than zero?

Back

No, a proportional relationship must pass through the origin.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.