A parks and wildlife commission releases 80,000 fish into a lake. After t years, the population years,

Question:

A parks and wildlife commission releases 80,000 fish into a lake. After t years, the population years, the population N of the fish (in thousands) is given by
N = 20(3t +4) / 0.05t +1, t ≥ 0.
(a) Sketch the graph of the function.
(b) Find the population when t = 5, t = 10, and t = 25.
(c) What is the maximum number of fish in the lake as time increases? Explain.