Spread of an Epidemic An influenza epidemic spreads at a rate proportional to the product of the number of people in- fected and the number not yet infected. Assume that 100 people are infected at the beginning of the epidemic in a community of 20,000 people, and 400 are infected 10 days later. a. Write an equation for the number of people infected, y, af- ter t days. b. When will half the community be infected?

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