Question
Consider a population of 10 million cells. Given the per-capita birth rate of 0.002 (per unit time) and the per-capita death rate of 0.002 (per unit time), the expected number of cells after 10 generations is __________.
Consider a population of 10 million cells. Given the per-capita birth rate of 0.002 (per unit time) and the per-capita death rate of 0.002 (per unit time), the expected number of cells after 10 generations is __________.
D. 10 million
Given initial population N_0 = 10 million. Per-capita birth rate b = 0.002. Per-capita death rate d = 0.002. The intrinsic rate of natural increase r is given by r = b - d. r = 0.002 - 0.002 = 0. The population growth equation is N_t = N_0 e^ rt . Substituting r = 0, we get N_t = N_0 e^0 = N_0. Thus, the population size remains constant over time. The expected number of cells after 10 generations is 10 million. Answer: 10 million
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