Exponential Growth Model
During the 2014–2016 Ebola epidemic, suppose the number of cases grew according to the differential equation $$\frac{dN}{dt} = r*N$$ with an initial value of $$N(0) = 100$$ and a growth rate of $$r = 0.15$$ per month. Using this exponential model, approximately how many cases would be expected at $$t = 10$$ months?