Proportional VS. Nonproportional 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 quantity 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, often represented by a line that does not pass through the origin.

Front

How can you identify a proportional relationship on a graph?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio of the two quantities in a proportional relationship, often denoted as 'k'.

Front

How do you calculate the constant of proportionality from a table?

Back

To calculate the constant of proportionality from a table, divide one quantity by the corresponding value of the other quantity for any pair of values.

Front

What is the significance of the origin in determining proportionality?

Back

The origin (0,0) is significant because if a graph passes through the origin, it indicates a proportional relationship.

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 fee added.

Front

What does it mean if a graph is a straight line but does not pass through the origin?

Back

If a graph is a straight line but does not pass through the origin, it indicates a non-proportional relationship.

Front

How can you tell if a table represents a proportional relationship?

Back

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