contagious disease is spreading in a town of 10,000 people. There were 200 infected people when the outbreak was discovered and the number of people infected grew to 1000 people after one month. Assuming the logistic model for the spread of the disease, find the number of infected people three months after the outbreak. How fast is the disease spreading then? Next, when is the "peak time" of the disease; that is, when is the disease spreading most rapidly? And, what is the number of infected people at that point in time?