Proportional vs Non-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 quantity is constant.

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What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is not constant.

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How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one per unit of another.

Front

What does it mean if a graph is non-proportional?

Back

If a graph is non-proportional, it means that the relationship between the variables does not maintain a constant ratio and does not pass through the origin.

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

Back

An example of a proportional relationship in real life is the cost of apples if they are sold at a constant price per pound.

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

Back

An example of a non-proportional relationship in real life is a flat fee for a service that does not change with the amount of time or quantity used.

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

Back

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

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What is the significance of the origin in proportional relationships?

Back

The significance of the origin in proportional relationships is that it indicates that when one quantity is zero, the other quantity is also zero.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant ratio between the two quantities.