Proportional vs NonProportional

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. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates that there is a proportional relationship between the two variables represented in the graph.

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant across the table.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant. This means that the relationship does not maintain a consistent rate of change.

Front

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

Back

In a proportional relationship, the slope of the line is constant and equal to the ratio of the two quantities.

Front

Can a linear equation represent a proportional relationship?

Back

Yes, a linear equation can represent a proportional relationship if it is in the form y = kx, where k is a constant and the line passes through the origin.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and the ratios of the values do not remain constant.

Front

How can you tell if a set of points on a graph is proportional?

Back

If the points form a straight line that passes through the origin, then the set of points is proportional.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus overtime pay.