Question

the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014

$p(t)=\frac{1125}{1+12e^{-0.17t} }$

Answer 1

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

$p(t) = \dfrac{1125}{1+12e^{-0.17t}}$    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

$p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67$

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.