OpenStax, Algebra and Trigonometry 2e §6.8 Fitting Exponential Models to Data · Exercise 167 · Algebra · Exponentials & logarithms

Fitting Exponential Models to Data · Exercise 167

The population of a lake of fish is modeled by the logistic equation $P (t) = \frac{16 , 120}{1 + 25 e ^{- 0.75 t}},$ where $t$ is time in years. To the nearest hundredth, how many years will it take the lake to reach $80%$ of its carrying capacity?

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OpenStax, Algebra and Trigonometry 2e · §6.8 Fitting Exponential Models to Data · Exercise 167

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