SOLUTION: Can someone please assist in explaining this problem. I still do not understand what I am doing or why I am doing it. The population P of a fish farm in t years is modeled by

Click here to see ALL problems on Miscellaneous Word Problems

Question 1129785: Can someone please assist in explaining this problem. I still do not understand what I am doing or why I am doing it.

The population P of a fish farm in t years is modeled by the equation
P(t) = 1600/ 1 + 9e−0.9t.
To the nearest whole number, what will the fish population be after 2 years?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
( If this is correct )

* now I have to use calculator *

1,595 after 2 yrs ( if I got the equation right )

Answer by greenestamps(13367) (Show Source):
You can put this solution on YOUR website!

In fact the other tutor does NOT have the equation right. It is a standard logistic equation:

In a logistic equation, it is easy to calculate the beginning value (t=0) and the limiting value (t "very large"):

t=0:

t=1000:

For intermediate values, with the exponential base e and a decimal exponent, you need to use a calculator.

= 643 to the nearest whole number.