Question

Consider a population of field mice p(t), where t is measured in days, that grows at a rate proportional to the current population, so that dpdt=r⁢p (a) find the rate constant r if the population triples in 30 days. (round the answer to four decimal places.)

Answer 1

(a) ln(3)/30 = 0.0366

_____
The solution to the differential equation is
.. p(t) = p0*e^(0.0366t)
then
.. p(30) = p0*e^1.098 = 3.00*p0 . . . . to 3 significant figures