An initial population of 175 quail increases at an annual rate of 22%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

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Answer 1 · 2016-08-08T09:33:35

472

#N = N_0e^(kt)#

Take #t# in years, then at #t=1#, #N = 1.22N_0#

#1.22 = e^k#

#ln(1.22) = k#

#N(t) = N_0e^(ln(1.22)t)#

#N(5) = 175*e^(ln(1.22)*5) = 472.97#

#implies 472# quail