Question

Problem 3 In a town of 50,000 people, there were initially 80 cases of a particularly virulent strain of flu. The Center for Disease Control and Prevention in Atlanta claims that the cumulative number of infections will increase by 30% per week if there are no limiting factors. The cumulative number of cases of flu in the town is given by f(x) = 1 1+ Ae-Bx -Be cases, 2 weeks since the initial outbreak Complete the model by finding the values for L, A, and B: (a) What is the limiting value for f(x)? (b) What is the initial value for f(x)? (c) Use your values from parts (a) and (b) to find the value of the constant A in the model f(x). (d) Find the intrinsic exponential growth rate (the value of B) for the logistic function f(x). Round B to three decimal places.

Answer 1

OPPO F11 Pro a) limes fins a un B A E Bm i. L=50.000 b) initial value for fins ago at nao. ey Now for Food Pro -> 80 - So 1 ta é HA = HA= 50000 = 625 = A=624 d) 14 6 29 E B TO4 Atm=1 got 20% of so = 9oooo - go of 24 = 50000 It 6240-B => 1+629 6-B - 50000 -) et = be 1000e - 17 = 49.896 - e-ß - 0.768861 --B = Enco. 768861) = -0.262845 BD. 263 629 L 104