Exponential Growth Model

Question

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?

Accepted Answer

Approximately $$100*e^{0.15*10} \approx 448$$ cases.

Answer

Approximately $$300$$ cases.

Answer

Approximately $$150$$ cases.

Answer

Approximately $$1000$$ cases.

Exponential Growth Model

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