Proportional v. 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.

Front

What is a non-proportional relationship?

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A non-proportional relationship is a relationship between two quantities where the ratio is not constant, meaning that as one quantity changes, the other does not change at a constant rate.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

If the constant of proportionality is 10, what is the equation of the proportional relationship?

Back

The equation is y = 10x.

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How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

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

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

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What is an example of a non-proportional relationship?

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An example of a non-proportional relationship is a situation where a carpet cleaning company charges a flat fee for the first room and a different fee for each additional room.

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How do you determine if a relationship is proportional or non-proportional?

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To determine if a relationship is proportional, check if the ratio of the two quantities remains constant as the values change.

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What does it mean if a relationship is described as non-proportional?

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It means that the relationship does not maintain a constant ratio, and the change in one quantity does not consistently affect the other.

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What is the significance of the constant of proportionality in a proportional relationship?

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The constant of proportionality indicates how much one quantity changes in relation to another, providing a direct link between the two.