1. he popu present population. A. Model the population P = P(t) of the bacteria population with a differential equation. B. Solve the differential equation that models the population P = P(t) of the bacteria population. C. Suppose the population at time t = 0 hours is 1000. Derive an equation for the population P as an explicit function of time (in hours). Your equation should contain no undetermined constants. D. What's the population of the bacteria culture at the end of 10 hours? After 100 hours?