In 2010 the number of people infected by a virus was P0. Due to a new vaccine, the

Chapter 4, Problem 4.1.31

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In 2010 the number of people infected by a virus was P0. Due to a new vaccine, the number of infected people has decreased by 20% each year since 2010. In other words, only 80% as many people are infected each year as were infected the year before. Find a formula for P = f(n), the number of infected people n years after 2010. Graph f(n). Explain, in terms of the virus, why the graph has the shape it does.

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