Assume that a population P of cheetah on the Savannah of Africa is proportional to the size of an elephant herd, E. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why.A. Yes, dP/dt = k/E is a differential equation with a rate of change.B. P = k/E is a simple relationship and there is no rate of change so no need to use differential equations.C. No, P = kE is a simple relationship and there is no rate of change so no need to use differential equations.D. Yes, dP/dt = kE is a differential equation with a rate of change.