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the population of pittsburgh pennsylvania fell from 520 117 in 1970 to 305 704 in 2010 write an exponential function p t m

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The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.

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Answer to a math question The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.

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Answer: P\left(t\right)=520117a^{-t}

305704=520117a^{-40}

0.58776=a^{-40}

a=1.0134 So, P\left(t\right)=520117\left(1.0134\right)^{-t}

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