Consider a population p of field mice that grows at a rate proportional to the current population, so that dp dt = rp. (note: re
member that, as in the text, t is measured in months, not days. one month is 30 days.) (a) find the rate constant r if the population doubles in 210 days. (round your answer to four decimal places.) r = 19.0279 incorrect: your answer is incorrect.
This is the concept of differential equations, given that dp/dt=rp then: dp/p=rdt thus: ln p=rt+C p=e^(rt+C) P=Ke^(rt) when t=210 days=7 months, p=2k 2k=k×e^(7r) 2=e^(7r) ln2=7r r=ln(2)/7 r=0.0990
