Lawson Rogers
01/28/2024 · High School
10. Suppose a population grows according to the exponential growth model. In the year 2009 \( \left(P_{0}\right) \), the population was 25,000 . The population is growing by \( 7 \% \) each year. For full credit, show the explicit formula for the population (for \( \left.P_{N}\right) \), then use it to show your calculations using it to predict the population in 2012 . \( P_{N}= \) Pop in 2012 :
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The explicit formula for the population is \( P_{N} = 25,000 \times (1 + 0.07)^{N} \). The population in 2012 is approximately 30,626.
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