Question

a country's population in 1992 was 39 million in 1997 it was 42 million estimate the population in 2009 using the exponential growth formula round your answer to the nearest million.

Answer 1

pls post this formula

Answer 2

\(P(t) = A e^{k t}\)

Therefore:

\(\qquad 39 = A e^{1992 k} \qquad \square\)

\(\qquad 42 = A e^{1997 k} \qquad \triangle\)

2 equations, 2 unknowns. Suggest you divide \( \square\) by \( \triangle \), or vice versa, to solve for \(k\).

Then plug back into either, to solve for \(A\)

Finally, \(P(2009) = A e^{2009 k }\)

And round.