PROBLEM 6 A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 10% each month. However, factoring in all causes, 80 fish are lost each month. Give a recurrence relation for the population of fish after n months. How many fish are there after 5 months? If your fish model predicts a non-integer number of fish, round down to the next lower integer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Please assist with this question about recurrence relations.

PROBLEM 6
A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of
removal, the fish population increases by 10% each month. However, factoring in all causes, 80 fish
are lost each month.
Give a recurrence relation for the population of fish after n months. How many fish are there after
5 months? If your fish model predicts a non-integer number of fish, round down to the next lower
integer.
Transcribed Image Text:PROBLEM 6 A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 10% each month. However, factoring in all causes, 80 fish are lost each month. Give a recurrence relation for the population of fish after n months. How many fish are there after 5 months? If your fish model predicts a non-integer number of fish, round down to the next lower integer.
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