EXAMPLE 3 An Exponential Model for the Spread of a Virus An infectious disease begins to spread in a small city of population 10,000. After t days, the number of people who have succumbed to the virus is modeled by the function 10,000 v(t) 5 + 1245e¬0.97t (a) How many infected people are there initially (at time t = 0)? (b) Find the number of infected people after one day, two days, and five days. (c) Graph the function v, and describe its behavior.

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