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

Multiple Choice

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) . The school will shut down if 50% of the students are ill. What value of t corresponds to this percentage? ​

A) Infinity
B) 8.19
C) 9.30
D) 6.44
E) 3.96