Question

A farmer introduces 100 trout into his pond. ‍♀️‍♀️ pls help

Answer 1

The horizontal asymptote represents the terminal population of the trout.

Explanation:

The horizontal asymptote of the given rational function is the limit of
`p(t)` when
`t \to +\infty`. That is:

`\lim_(t \to \infty) p(t) = \lim_(t \to \infty) (150\cdot t + 100)/(0.04\cdot t + 1)` (1)

Then, we apply the concept of limits for rational-polynomial functions:

`\lim_(t \to \infty) ((150\cdot t)/(t) + (100)/(t))/((0.04\cdot t)/(t) + (1)/(t) )`

`\lim_(t \to \infty) p(t) = 3750`

The horizontal asymptote represents the terminal population of the trout. In this case, the terminal population of the trout is 3750.