Proportional and 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 nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

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.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the constant ratio between two quantities, often expressed as 'per one'.

Front

What does it mean if a table does not pass through the origin?

Back

If a table does not pass through the origin, it indicates that the relationship is not proportional.

Front

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

Back

The point (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

If a table has a constant unit rate of 5, what does this mean?

Back

This means that for every increase of 1 in the first quantity, the second quantity increases by 5.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a nonproportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

How do you determine if a relationship is proportional using a graph?

Back

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