Proportional vs. NonProportional

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What is a proportional relationship?

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What is a non-proportional relationship?

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A non-proportional relationship is one where the ratio between two quantities is not constant, meaning they do not maintain a consistent relationship.

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How can you identify a proportional relationship from a graph?

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

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What does the constant of proportionality represent?

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What is an example of a proportional situation?

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An example of a proportional situation 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 situation?

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

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

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A table of values 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?

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