A curve representing the total number of people, P, infected with a virus often has the shape of a logistic curve of the form L P = 1+ Ce-kt with time t in weeks. Suppose that 4 people originally have the virus and that in the early stages the number of people infected is increasing approximately exponentially, with a continuous growth rate of 1.78. It is estimated that, in the long-run, approximately 2000 people will become infected. (a) What should we use for the parameters k and L? NOTE: Enter the exact answers. K = L = 2000 (b) Use the fact that when t = 0, we have P = 4, to find C. NOTE: Enter the exact answer. C = 499 Search N DIestion 3 of 4 C = 499 (c) Now that you have estimated L, k, and C, what is the logistic function you are using to model the data? P(t) : (d) Estimate the length of time until the rate at which people are becoming infected starts to decrease. What is the value of P at this point? NOTE: Round your answer for t to one decimal place and your answer for P to the nearest hundred people. t~ P ~ eTextbook and Media Save for Later Attempts: 2 of 10 used Su Search N DI