Find the population of the lake converges to any particular value. If not, explain.
Answer to Problem 45PPS
No; the population of fish will reach 12,500.
Explanation of Solution
Given:
Suppose a lake is populated with 10,000 fish. A year later, 80% of the fish have died or been caught, and the lake is replenishes with 10,000 new fish. If the pattern continues, will the lake eventually run out of fish ? If not, will the population of the lake converge to any parlier value? Explain.
Concept Used:
No; the population of fish will reach 12,500.
Each year,
Thus, no, the population of fish will reach 12,500.
Chapter 11 Solutions
Algebra 2
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