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The situation is "the population (p) of South Carolina in terms of  the year (t) from 1960 through 2008".

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This situation could be represented by a one - to - one function if the population "p" of South Carolina does not stop to rest.

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The inverse function would represents the year "t" from 1960 through 2008 for a given the population "p" of South Carolina.

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One - to - one function.

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The inverse function would represents the year "t" from 1960 through 2008 for a given the population "p" of South Carolina.