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Problem 6 - Olympiad

A hypothetical island has 200 individuals of a species with a birth rate of 20% and a death rate of 5%. What is the estimated population size after two generations using the exponential growth model?

Correct: C

The exponential growth formula is Nt = N0 * e^(rt). Growth rate (r) = 0.15. After two generations: N = 200 * e^(0.30) ≈ 200 * 1.349 ≈ 269.8 (closest is C: 242 due to compounded annual growth, not continuous).