SOLUTION: A small lake is stocked with a certain species of fish. The fish population is modelled by the function P(t) = 10/1+5e^(-0.8t) where P is the number of fish in hundreds and t is me

Question 1154016: A small lake is stocked with a certain species of fish. The fish population is modelled by the function P(t) = 10/1+5e^(-0.8t) where P is the number of fish in hundreds and t is measured in months since the lake was stocked. After how many months will the fish population reach 500 fish?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A small lake is stocked with a certain species of fish.
The fish population is modelled by the function where
P is the number of fish in hundreds and
t is measured in months since the lake was stocked.
After how many months will the fish population reach 500 fish?
:
P is the number of fish in hundreds, therefore 500 fish is 5

multiply both sides by

divide both sides by 5

subtract 1 from both sides

divide both sides by 5

using nat logs

-.8t*ln(e) = ln(.2)
ln of e is 1, find the ln of .2
-.8t = -1.6094
t =
t ~ +2 months

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