8.5F Proportional VS. Non-proportional Relationships in Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio between two quantities remains constant. In a graph, this is represented by a straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. In a graph, this may be represented by a straight line that does not pass through the origin or a curvy line.

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line when plotted on a coordinate plane. It represents a constant rate of change.

Front

What is the significance of the point (0,0) in proportional relationships?

Back

The point (0,0) indicates that when the independent variable (x) is zero, the dependent variable (y) is also zero, which is a characteristic of proportional relationships.

Front

How can you identify a proportional graph?

Back

A proportional graph is linear, passes through the origin (0,0), and has a constant ratio between y and x values.

Front

What is the ratio in a proportional relationship?

Back

The ratio in a proportional relationship is the constant value obtained when dividing y by x (y/x). This ratio remains the same for all points on the line.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship, as the ratio between y and x values is not constant.

Front

Can a straight line be non-proportional?

Back

Yes, a straight line can be non-proportional if it does not pass through the origin (0,0).

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 items purchased and the total cost when there is a fixed delivery fee added.