Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7,000. The number of fish tripled in the first year. Step 1 We know that P(t) = M/1 + Ae^−kt Step 2 We have P(t) = 7000/1 + 24e^−kt Please solve Since P(1) = 840, then 1 + 24e^−k =__ and so e^k =___

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7,000. The number of fish tripled in the first year. Step 1 We know that P(t) = M/1 + Ae^−kt Step 2 We have P(t) = 7000/1 + 24e^−kt Please solve Since P(1) = 840, then 1 + 24e^−k =__ and so e^k =___
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