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) . 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