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).
(a) How many are infected after 4 days?
(b) The school will shut down if 50% of the students are ill. During what day will it close?

Transcribed Image Text:

y 10,000 1+ 9999e-0.99t