Question

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

Answer 1

P=190e20k

Explanation:

Answer 2

Hello,

145*10^6=A*e^(k*1985) (1)
190*10^6=A*e^(k*1995) (2)

(2)/(1)==>190/145=e^(k*10)
==>10*k=ln(38/29)==>k=1/10*ln(38/29)


==>k=0,0270290....

145*10^6=A*e^(0.0270290*1985)
A=7,249810...e-16

P=7,249810...e-16 * e^(0,0270290*2005)=248 965 517,24...
≈248.965517 *10^6