Originally Posted by

**MathBane** The question:

In this exercise we explore further the Pacific sardine population. Studies to fit a logistic model to the Pacific sardine population have yielded the following.

$\displaystyle N= \frac {2.4}{1+239e^{-0.338t}}$

Here, *t* is measured in years and *N* is measured in millions of tons of fish. (Round your answers to two decimal places.)

(a) If the current level of the Pacific sardine population is 50,000 tons, how long will it take for the population to recover to the optimum growth level of 1.2 million tons? [*Suggestion:* One way to solve this is to make a new logistic formula using *K* = 2.4, *r* = 0.338, and *N*(0) = 0.05.]

*t* = ____ yrs

(I made a new formula and came up with:

$\displaystyle N= \frac {2.4}{1+48e^{-0.338t}}$, but using this is giving me all the wrong answers.)