SOLUTION: Could someone help explain how to correctly solve the equation. The population P of a fish farm in t years is modeled by the equation P(t) = 2200/ 1 + 9e^−0.8t What

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Could someone help explain how to correctly solve the equation. The population P of a fish farm in t years is modeled by the equation P(t) = 2200/ 1 + 9e^−0.8t What       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1129686: Could someone help explain how to correctly solve the equation.
The population P of a fish farm in t years is modeled by the equation
P(t) = 2200/ 1 + 9e^−0.8t
What is the initial population of fish?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use parentheses where required!

The population formula as you show it is

P(t) = 2200%2F+1+%2B+9e%5E-0.8t

The correct formula is

P(t) = 2200%2F+%281+%2B+9e%5E%28-0.8t%29%29

Now for your question....

The initial population is when t=0.

What is the value of e%5E%28-0.8t%29 when t=0?

What is the value of 9e%5E%28-0.8t%29 when t=0?

What is the value of 1%2B9e%5E%28-0.8t%29 when t=0?

What is the value of 2200%2F%281%2B9e%5E%28-0.8t%29%29 when t=0?

That's the initial population.