if the population doubled in size over 27 months and current population is 90000 what will the population be in 3 years from now?

Answer 1

P = Ae^rt where r = rate of growth, t = time, A = iniitial population. P = population after time t

2 =e^r27

take the natural log of both sides

ln2 =27r

r = ln2/27 = .0257 = 2.57%

P=90,000e^.0257(36)

=226,786 in 36 months or 3 years

in 27 months it grew to 2(90000) = 180,000

in 54 months it grows to 2(180000) = 360,000

in 36 months it grows to 226,786