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 does it mean for a graph to be proportional?

Back

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

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

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

Back

A non-proportional relationship can be identified if the graph does not pass through the origin.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and represents the ratio between the two quantities.

Front

What does a straight line in a graph indicate?

Back

A straight line indicates a linear relationship, which can be proportional or non-proportional depending on whether it passes through the origin.

Front

Can a table of values represent a proportional relationship?

Back

Yes, a table of values can represent a proportional relationship if the ratios of corresponding values are constant.

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 happens to the graph of a proportional relationship if the ratio changes?

Back

If the ratio changes, the graph will no longer be a straight line through the origin, indicating a non-proportional relationship.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.