In a town whose population is 3500, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function
N(t) = 3500 / 1 + 19.9e-0.6t
a) Graph the function.
b) How many are initially infected with the disease (t = 0)?
c) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days.
d) Using this model, can you say whether all 3500 people will ever be infected? Explain.