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An influenza epidemic spreads at a rate proportional to the product of the number of people infected and the number not yet infected. Assume that

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An influenza epidemic spreads at a rate proportional to the product of the number of people infected and the number not yet infected. Assume that initially 100 people are infected in a community of 25,000 people, and 500 are infected 10 days later
(a) Write an equation for the number of people infected, x(t), after t days.
(b) When will half the community be infected?
(a) Complete the equation below.
x(1) =
(Do not round until the final answer. Then round to two decimal places as needed.)
(b) Half the community will be infected in about | | days.
(Do not round until the final answer. Then round to the nearest day as needed.)

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