Salmonella bacteria, found on almost all chicken and eggs, grow rapidly in a nice warm place. If just a few hundred salmonella bacteria are left on the cutting board when a chicken is cut up, and they get into the potato salad, the population begins compounding. Suppose the number present in the potato salad after t hours is given by f(t) = 200-2³ a. If the potato salad is left out on the table, how many bacteria are present 1 hour later? b. How many were present initially? c. How often do the bacteria double? d. How quickly will the number of bacteria increase to 12,800? a. There will be bacteria present 1 hour later.

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