Question

During weeks in a certain flu season, the rate at which the number of cases of influenza per 100,000 people in a country changed could be approximated by I'(t)=3.298e^0.1044t where I is the total number of people per 100,000 who have contracted influenza and t is time measured in weeks. Estimate I(t), the total number per 100,000 who have contracted influenza by time t. Assume that I(0)=0

I have no idea how to do this. Please help. Thank you!

Answer 1

I(0) = 3.298e^0.1044*0,
I(0) = 3.298e^0, e^0 = 1.
I(0) = 3.298 * 1,
I(0) = 3.298 cases per 100,000.