In all problems involving days, a 365-day year is assumed.
HIV/AIDS epidemic. The Joint United Nations Program on HIV/AIDS reported that HIV had infected 65 million people worldwide prior to 2006. Assume that number increases continuously at a relative growth rate of 2%.
(A) Write an equation that models the worldwide spread of HIV, letting 2006 be year 0.
(B) Based on the model, how many people (to the nearest million) had been infected prior to 2002? How many would be infected prior to 2014?
(C) Sketch a graph of this growth equation from 2006 to 2014.
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