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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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