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

Chapter 3, Problem 119

(choose chapter or problem)

Biology A parks and wildlife commission releases 80,000 fish into a lake. After t years, the population N of the fish (in thousands) is given by

\(N=\frac{20(4+3t)}{1+0.05t},\quad\ \ t\ge0\)

(a) Use a graphing utility to graph the function and find the populations when  t = 5, t = 10, and t = 25.

(b) What is the maximum number of fish in the lake as time passes? Explain your reasoning.

Text Transcription:

N = 20(4+3t) / 1+0.05t,   t geq 0

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