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 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.

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 it mean if a graph does not pass through the origin?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents 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 cost of items that are sold at a constant price per unit, such as $2.50 per bag of popcorn.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a situation where a fixed fee is added to a variable cost, such as a monthly subscription fee plus usage charges.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you find the missing value in a proportional relationship?

Back

To find the missing value in a proportional relationship, set up a proportion equation based on the known values and solve for the unknown.