Question

Adam is playing a video game in which he establishes and builds up a city. The population of this city is currently 40,560 people, a number that increases by 15% every year. What will the population be in 16 years?If necessary, round your answer to the nearest whole number.

Answer 1

Let n be the number of years since the population started increasing, and let p(n) the the population after n years. We'll have that:

$p(n)=40560(1.15)^n$

For n = 16, we'll have that:

$\begin{gathered} p(16)=40560(1.15)^{16} \\ \Rightarrow p(16)=379545 \end{gathered}$

This way, we can conclude that: