The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. If the growth of the population can be described as a exponential function f(x) = Aekt (a) find the exact formula of the function f(x). (b) Find the population after 2.5 hours. (c) After how many hours will the number of bacteria reach 15,000? (d) Sketch the graph of the population function.

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