Solve Using Logistic Growth (Spread of a Virus)

Question

On a college campus of 3000 students, one student returns from vacation with a contagious and long-lasting flu virus. The spread of the virus is modeled by: 

y =   3,000 / (1 + 2,999e^(−0.8t)), and  t ≥ 0

where y is the total number of students infected after t days, and t is the number of infected days. The college will cancel classes when 40% or more of students are infected.

(a.) How many students are infected after 5 days? 

 (Round the results to the nearest whole number) 

t = blank days and y = blank students

(b.) After how many days will the college cancel classes? 

 (Round the results to the nearest whole number) 

y = blank students and t = blank days

Answer 1

(a) Substitue 5 for t and calculate y

(b) Substitute (0,40)(3000) for y and calculate t