SOLUTION: Please Help!!! The population P of fish, in thousands, in a certain pond at time t years is modeled by the function P(t)= 1/ (1+[(1/P*)-1]e^-rt), where P* is the population at the

SOLUTION: Please Help!!! The population P of fish, in thousands, in a certain pond at time t years is modeled by the function P(t)= 1/ (1+[(1/P)-1]e^-rt), where P is the population at the

Question 973855: Please Help!!!
The population P of fish, in thousands, in a certain pond at time t years is modeled by the function P(t)= 1/ (1+[(1/P*)-1]e^-rt), where P* is the population at the time t=0 and r is the growth rate of the population. If P(1)=5, which of the following is equivalent to r?
A) ln(5)/P*
B) ln(5)/ln(1/P*)
C) In(4P*/5P*)
D) ln(4/5P*)
E) ln(5(P*-1)/4P*)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= so = .
Let's solve for :
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Multiplying both sides times we get
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