Proportional Relationships

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What is a proportional relationship?

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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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How can you find the constant of proportionality?

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The constant of proportionality can be found by calculating the unit rate, which is the ratio of one quantity to another when the second quantity is one.

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What is the unit rate?

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The unit rate is the ratio of two measurements in which the second measurement is one unit.

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What does it mean if a table represents a proportional relationship?

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If a table represents a proportional relationship, it means that the ratios of the corresponding values are equivalent.

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How can you determine if a table is proportional?

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You can determine if a table is proportional by checking if the ratios of the values in the table are constant.

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What is the constant of proportionality in the context of speed?

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In the context of speed, the constant of proportionality is the speed itself, often expressed in units like miles per hour.

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If a table shows the relationship between eggs and cups of cream for egg nog, what does a ratio of 5/1 indicate?

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A ratio of 5/1 indicates that for every 5 eggs, 1 cup of cream is needed.

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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 when the ratio of two quantities changes, such as when doubling one quantity does not double the other.

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What is the significance of the constant of proportionality in real-world applications?

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The constant of proportionality is significant in real-world applications as it helps to predict outcomes and understand relationships between quantities.

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How do you express a proportional relationship mathematically?

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A proportional relationship can be expressed mathematically as y = kx, where k is the constant of proportionality.