Proportional or Non-Proportional (Tables)

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What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

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What is a non-proportional relationship?

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A non-proportional relationship is one in which the ratio between two quantities is not constant. As one quantity changes, the other does not change at a consistent rate.

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How can you identify a proportional relationship in a table?

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A proportional relationship in a table can be identified if the ratios of corresponding values are equal. This means that for every pair of values, the division of one by the other yields the same result.

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What is the constant of proportionality?

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The constant of proportionality is the constant ratio or rate that defines a proportional relationship. It is often represented by 'k' in the equation y = kx.

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Can a proportional relationship be represented by a linear equation?

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Yes, a proportional relationship can be represented by a linear equation of the form y = kx, where k is the constant of proportionality.

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What does it mean if a table shows a constant difference between values?

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If a table shows a constant difference between values, it indicates a linear relationship, but not necessarily a proportional one, as the ratio may not remain constant.

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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 in real life 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 the relationship between the number of items purchased and the total cost when there is a fixed fee added to the total.

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How can you determine if a set of data is proportional using a graph?

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A set of data is proportional if the graph of the data points forms a straight line that passes through the origin (0,0).

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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, maintaining the constant ratio.