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

we can translate the given data into two points:
(0, 145 million) and (10, 190 million)Substituting to the equation P = Ae^kt, then145 million = A e ^ k* 0A = 53342518.97 Also, 190 million = 53342518.97* e^k^10k = 0.127
When t is equal to 20, thenP = 53342518.97 e^ 0.127*20p = 676 million