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Answer 1 · 2017-08-11T12:26:03

The exponential growth equation is # p(t) = p(0)* e ^((0.328418)*t)#

#p(0) =34 ; p(12) =1750 # , exponential growth equation

is # P(12) = p(0) * e ^(kt) ; t =12 :. e^(k*12) = (p(12))/(p(0))#

Taking natural log on both sides we get

# k*t = ln ((p(12))/(p(0)))= ln (1750/34); (ln e) =1#

or # 12k = ln (1750/34) or k = ln (1750/34) /12 = 0.328418#

So the exponential growth equation is # p(t) = p(0)* e ^((0.328418)*t)#

. where #p(0) # is population at time #t=0# and

#p(t) # is population at time #t# . [Ans]