A typical person has 500 to 1500 T cells per drop of blood in the body. HIV destroys the

Chapter 12, Problem 83

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A typical person has 500 to 1500 T cells per drop of blood in the body. HIV destroys the T cell count at a rate of 50100 cells per drop of blood per year, depending on how aggressive it is in the body. Generally, the onset of AIDS occurs once the bodys T cell count drops below 200. Write a sequence that represents the total number of T cells in a person infected with HIV. Assume that before infection the person has a 1000 T cell count and the rate at which the infection spreads corresponds to a loss of 75 T cells per drop of blood per year. How much time will elapse until this person has full-blown AIDS?

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