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?

Its source prints no answer for this problem, so there's nothing to check against.

~8 minWritten answer · compare with the solution

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

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.