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. Changes in one quantity do not result in consistent changes in the other.

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How can you identify a proportional relationship in a table?

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A proportional relationship can be identified in a table if the ratios of corresponding values are equal. For example, if you have pairs of values (x, y), the ratio y/x should be constant.

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What is the formula for determining proportionality?

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The formula for determining proportionality is y = kx, where k is the constant of proportionality.

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What does the constant of proportionality represent?

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The constant of proportionality represents the fixed ratio between two proportional quantities. It is the factor by which one quantity is multiplied to obtain the other.

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Can a linear equation represent a non-proportional relationship?

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Yes, a linear equation can represent a non-proportional relationship if it has a y-intercept that is not zero. This indicates that the relationship does not pass through the origin.

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What is the significance of the origin in proportional relationships?

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In proportional relationships, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

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How do you graph a proportional relationship?

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To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin. The slope of the line represents the constant of proportionality.

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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 in real life?

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