A mathematical model for the fish population, P, in a fresh- water pond1 is given by the formula, \\/_ 1/P0 =kt, where P0 is the initial fish population, I: is the growth rate constant and t is the time, in months. Suppose the initial fish population in a pond is 100. Answer the questions below and round answers to the nearest whole number. Determine whether rounding up or down makes more sense. a. How long it will take for the fish population to reach 400 fish if k (Include units in your answer) b. How long will it take the fish population to reach 1 900 fish if k ? (Include units in your answer) 3 c. Find the fish population after 3 years if k = 1. 1 d. Find the fish population after 3 year if k = 3