Proportional v. Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio between them is constant.

Front

What is a non-proportional relationship?

Back

A relationship where the ratio between two quantities is not constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will always pass through the origin (0,0) and will be a straight line.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.

Front

What are the characteristics of a proportional relationship?

Back

1. They pass through the origin. 2. They are linear.

Front

What is the slope of a proportional relationship?

Back

The slope is constant and represents the unit rate.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratios of corresponding values are constant, it is proportional.

Front

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

Back

Speed is a proportional relationship; for example, traveling 60 miles in 1 hour is proportional to traveling 120 miles in 2 hours.

Front

What is an example of a non-proportional relationship?

Back

The relationship between the number of items purchased and the total cost when there is a fixed fee added.