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Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula [tex] P = Ae^{kt} [/tex] to setup an expression to estimate the population of the country in 2005.

A. [tex] P = 145e^{(0.027)(10)} [/tex]
B. [tex] P = 145e^{(0.027)(20)} [/tex]
C. [tex] P = 190e^{(0.027)(10)} [/tex]
D. [tex] P = 190e^{(0.027)(20)} [/tex]

Respuesta :

we have given an expression [tex] P=Ae^(kt) [/tex]

in 1985 the population was 145 million which mean t=0.

[tex] P=145 [/tex] when 1985 ,t=0 .

from 1985 to 2005 there 20 years passed.so t=20

so [tex] P=145e^(0.027*20) [/tex].

here k =0.027 which is growth constant it means it increasing at 2.7 % per year .

so option B will be the answer.

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