Solve the problem.If a population is changed by either immigration or emigration, a model for the population is 
where y is the population at time t and f(t) is some function of t that describes the net effect of the emigration/immigration. Assume that k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given that 
A. y = -1250t + 62,500 - 52,500e-0.02t
B. y = 1250t + 62,500 - 52,500e-0.02t
C. y = -1250t - 62,500 - 52,500e0.02t
D. y = 1250t + 62,500 - 52,500e0.02t
Answer: D
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