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 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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