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

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph, indicating that when one variable is zero, the other variable is also zero.

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 of another quantity.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are equal.

Front

What is the unit rate in the relationship of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant ratio between the two variables in a proportional relationship.

Front

What are the characteristics of a proportional relationship?

Back

Proportional relationships are linear, pass through the origin, and have a constant rate of change.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship does not pass through the origin and may have a curve or a different slope.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it indicates the value of the dependent variable when the independent variable is zero.