The population is growing at an annual rate of 16.2%
Here, we want to calculate the exponential growth rate
Mathematically, we can write the exponential equation of growth as follows;

Where P is the population after a certain number of years ( 270 after 3 years
I is the initial popultaion which is 200
r is the percentage we want to calculate
t is the number of yeats to reach P which is 3 in this case
![\begin{gathered} 270=200(1+r)^3 \\ (1+r)^{3\text{ }}\text{ = }(270)/(200) \\ \\ (1+r)^3\text{ = 1.35} \\ \\ 1\text{ + r = }\sqrt[3]{1.35} \\ \\ 1\text{ + r = 1.162} \\ \\ r\text{ = 1.162 - 1} \\ \\ r\text{ = 0.162} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7ebg0kogvi20qmpi32y58imydobv8kpijy.png)
To the nearest tenth of a percentage, this is 16.2%