Medicine On a college campus of 5000 students, the spread of a flu virus through the student body is modeled by
p = 5000/1 + 4999e-0.8t, t > 0
where p is the total number of infected people and t is the time, measured in days.
(a) Find the number of students infected after 5 days.
(b) Use a graphing utility to graph the model. Find the number of days it takes for 2000 students to become infected with the flu
(c) According to this model, will all the students on campus become infected with the flu? Explain your reasoning.