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 7 days?
A) approximately 32 students
B) approximately 10 students
C) approximately 9,905 students
D) approximately 928 students
E) approximately 911 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 7 days? ​
A) approximately 32 students 
B) approximately 10 students 
C) approximately 9,905 students 
D) approximately 928 students 
E) approximately 911 students

Quizplus · Accepted Answer

Plugging in t=7 into the given formula, we get:

y = 10000 / (1 + 9999e^(-7/4))

y ≈ 928.4

Therefore, approximately 928 students are infected after 7 days. The closest answer choice is D.

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