Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning they do not increase or decrease at a consistent rate.

Front

What are the characteristics of a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What are the characteristics of a non-proportional graph?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is a constant.

Front

What does the equation y = mx + b represent?

Back

The equation y = mx + b represents a linear relationship, which can be proportional if b = 0.

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, maintaining a constant ratio.

Front

Can a curved line represent a proportional relationship?

Back

No, a curved line cannot represent a proportional relationship; it must be a straight line.

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 at a constant speed.