The concentration of bacteria in a sample can be modeled by B(t) = B 0 e kt

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The concentration of bacteria in a sample can be modeled by B(t) = B0ekt, where t is in hours and B is the concentration in billions of bacteria per liter. 

(a) If the concentration increases by 15% in 6 hours, find k. 

(b) If B0 1.2, find B after 8.2 hours.

(c) By what percentage does the concentration increase each hour?

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