Mathematics

Mathematics

Problem

A population grows according to P(t)=P0e0.02tP(t)=P_0e^{0.02t}, where tt is measured in years. Which statement correctly compares the instantaneous growth rates at t=10t=10 years and t=20t=20 years? a) P′(20)P'(20) equals P′(10)P'(10). b) P′(20)P'(20) is approximately 0.820.82 times P′(10)P'(10). c) P′(20)P'(20) is approximately 1.221.22 times P′(10)P'(10). d) P′(20)P'(20) is exactly twice P′(10)P'(10).

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