Question

A fish population grew according to the following quadratic model, the number of fish a day is given by

P(t)=800t-t^2

What is the initial growth rate a t=0​

Answer 1

800 fish per day is the initial growth rate of the fish population

Explanation:

The growth rate is the derivative of the population function with respect to time (t). Therefore, we need to calculate the derivative of P(t) and evaluate it at t=0:

`(d\,P(t))/(dt) =800-2\,t\\`

which evaluated at t = 0 becomes:

`800-2\,(0)=800`