8 Suppose a population of bacteria is changing at a rate of dp 2 500 dt 1 0 25t where t is the time in days The initial population when t 0 is 2 000 Write an equation that gives the population at any time t a p t 10 0001n 1 0 25t 1 000 b p t ln 1 0 25t 2 000 c p t 2 500ln 1 0 25t 2 000 d p t 2 5001n 1 0 25t 1 000 e p t 10 0001n 1 0 25t 2 000