Question

The population of Guatemala in 2000 was 12.7 million. 1. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population

Answer 1

The exponential equation is P(t) = P₀e^(kt). Rearranged, the equation becomes k = (1/t)ln(P(t)/P₀). Just substitute the given information:
1) k = (1/30)ln(30/12.7) = 0.0287, so P(t) = 12.7e^(0.0287t).
2) In the same manner, P(t) = 12.7e^(0.0115t).