Problema Solution
in september 1998 the population of the country of west goma in millions was modeled by f(x)=17.8e^.0018x. At the same time, the population of east goma in millions was modeled by g(x)=14.4e^.0107x. In both formulas x is the year, where x=0 corresponds to september 1998. Assuming these trends continue, estimate what will the population be when the populations are equal.
Answer provided by our tutors
as given let let aftet t years population be equal
17.8 * e^0.0018t = 14.4* e^0.0107t
17.8/14.4 = e ^0.0089t
1.236 = e^0.0089t ,
0.0089t = ln 1.236 = 0.2119
t = 0.2119/0.0089 = 23.81
required population = 14.4*e^(23.81*0.0107) = 14.4*1.290 = 18.576millions