Answer
See below.
Work Step by Step
The population of the fish will decrease until it reaches a "stable" value when $a_n=a_{n-1}\\0.8a_{n-1}+500=a_{n-1}\\500=0.2a_{n-1}\\2500=a_{n-1}$
If the population becomes $2500$, it remains stable.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Problem Solving - Page 832: 43b
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