Estimate the year in which the population of Nisos will be approximately 6,000.
$\text{(A)}\ 2050 \qquad \text{(B)}\ 2075 \qquad \text{(C)}\ 2100 \qquad \text{(D)}\ 2125 \qquad \text{(E)}\ 2150$
Solution 1
We could triple the population every $25$ years and make a chart:
Year: 2000
Population: 200
Year: 2025
Population: 600
Year: 2050
Population: 1800
Year: 2075
Population: 5400
Year: 2100
Population: 16200
The closest year is 2075, or $\boxed{B}$

Solution 2
We could find out how many periods of 25 years we need to triple by dividing our total from our present number.
$\frac{6000}{200}=30$
The power of $3$ that $30$ is closest to is $27=3^3$
Therefore, after $3$ periods, we will be closest to $6000$.
$\boxed{B}$