Math 3 Quiz
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MODELING & APPLICATIONS
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An ecologist fits a logistic growth model P(t)=L1+ae−rtP(t) = \frac{L}{1 + ae^{-rt}} to population data and obtains P(t)=8001+15e−0.12tP(t) = \frac{800}{1 + 15e^{-0.12t}}, where tt is time in months. The model has R2=0.94R^2 = 0.94. If environmental conditions change such that the growth rate increases by 25%, but the carrying capacity decreases by 10%, what would be the new model?
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