On a college of 5000 students, the spread of flu virus through the student is modeled by P(t)=5000/(1+4999e^[−0.8t]), where P is the number of students infected after t days.

Question

Questions: (a) Will all students on the campus be infected with the flu? (b) After how many days is the virus spreading the fastest?

Answer 1

Something is not correct with the formula, viz.,

5000 = 5000 / (1 + 4999e^-0.8t)

1 + 4999e^-0,8t = 5000 / 5000

1 + 4999e^-0.8t = 1

4999e^-0.8t = 0 ??