The population of a country in 2005 was 25 million. In 2010 it was 31 million. estimate the population in 2020. Use the formula P=Ae^kt

What you must do is evaluate the function for the given conditions and thus be able to find the constants A and k

25 = Ae ^ k (2005)

31 = Ae ^ k2010

We then have two equations with two unknowns.

Solving.

25/31 = e ^ k (2005-2010)

Ln (25/31) = k (2005-2010)

k = Ln (25/31) / (2005-2010) = 0.043

Substituting k in any of the equations:

25 = Ae ^ (0.043 * (2005))

Clearing A

A = 25 / (e ^ (0.043 * (2005))) = 9.02E-37

Then, by 2020

P = (9.02E-37) e ^ (0.043 * (2020)) = 48 million

answer

the population for 2020 will be 48 million