At anyr time t 33 0, the rate of the spread of an epidemic is modeled by a function y that satisfies the differential equation 9;; 1_ aft10 1000' In an isolated town of 1000 inhabitants, 200 people have a disease at the beginning of the week. (a) Find the rate at which the disease is spreading when 200 people have the disease and when 300 people have the disease. g1 =18 2% X 2:: :21 ( 300 " Is the disease spreading faster when 200 people have the disease or when 300 people have the disease? Explain your reasoning. 0 It is spreading faster when 200 people have the disease. 0 It is spreading faster when 300 people have the disease. (b) Write a model for he population y = t) at any time t 2 0. 1000 ._e<:.j what is lim t frw j infected people>