Linear Population Growth Function
The population of a town increases by 200 people per year. If the initial population is 1,000, which of the following functions models the population, \( P(t) \), after \( t \) years?
A\( P(t) = 1000 \cdot 200^t \)
B\( P(t) = 1000 + 200t \)
C\( P(t) = 1000 - 200t \)
D\( P(t) = 1000 \cdot (1.2)^t \)