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From data collected, the health services in one county estimated that a certain flu virus was spreading at a rate of of 5t raised to the power of 3/2 + 22 persons per day. If n represents the number of persons who have the flu and t is the time in days: a) How can they determine the number of persons who have the flu after t days if 50 persons already had the flu at the start of the data collection period? b) How many persons will have the flu after 8 days.

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