An unidentified virus infects a small town. Each month 60 new cases are reported, and through recovery or death 9% of the infected population no longer have the disease. Let V be the number of people at time t who have the virus. Then dV 9 = 60 dt 100 Initially, nobody has the disease. The solution to this initial value problem is: V(t) = Hence we can predict (to the nearest integer) the number of infected people after . 4 months: V (4) = . 10 months: V (10) = . 100 months: V (100) = As time goes on, we expect that the number of infected people tends to P