On a college campus of 10,000 students, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by , where y is the total number infected at time t (in days). How many are infected after 8 days?
A)approximately 52 students
B)approximately 10 students
C)approximately 9,987 students
D)approximately 2,158 students
E)approximately 3,038 students

Question

On a college campus of 10,000 students, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by  , where y is the total number infected at time t (in days). How many are infected after 8 days? ​
A)approximately 52 students 
B)approximately 10 students 
C)approximately 9,987 students 
D)approximately 2,158 students 
E)approximately 3,038 students

Quizplus · Accepted Answer

We can plug in t = 8 into the given function to find the total number infected after 8 days:

y = 10000/(1+9999e^(-0.05*8)) ≈ 2158

Therefore, approximately 2,158 students are infected after 8 days. The correct answer is (D).

On a College Campus of 10,000 Students, a Single Student