The total voting-age population P (in millions) in the United States from 1990 through 2014 can be

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The total voting-age population P (in millions) in the United States from 1990 through 2014 can be modeled by P = 184.64 + 0.7524t2/1 + 0.0028t2, 0 ≤ t ≤ 24 where t represents the year, with t = 0 corresponding to 1990. (Source: U.S. Census Bureau)

(a) In which year did the total voting-age population reach 210 million?

(b) Use the model to predict when the total voting-age population will reach 260 million. Is this prediction reasonable? Explain.

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