Question

Which formula do I use and how do I key it in on my calculator

Answer 1

Modeling population growth:

Being Po the initial population, K the carrying capacity (or maximum capacity), and r the growth rate, The model for the population at a time t is:

`P(t)=(K)/(1+\left((K-P_o)/(P_o)\right)e^(-rt))`

For the problem, we are given Po = 300, r = 40% = 0.4, K = 3600. Substituting, we get the model:

`P(t)=(3600)/(1+\left((3600-300)/(300)\right)e^(-0.4t))`

Operating:

`P(t)=(3600)/(1+11e^(-0.4t))`

For t = 4 years:

`P(4)=(3600)/(1+11e^(-0.4*4))`

Calculating:

P(4) = 1118

Answer: 1118 trout

Note: The result above was rounded to the nearest whole number