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snow_lady [41]
3 years ago
10

An apple pie has 2 million (2 x 10^6) Staph. aureus cells in it. The food preparer did not wash his hands and probably inoculate

d the cream with 200 Staph. aureus. He also forgot to refrigerate it. If the pie was made 6 hours ago, how many generations have occurred? How long is each generation? Using the generation 2number of generations x initial number of bacteria = total # of bacteria present after n generations time you calculated, how many bacteria would be present after 8 hours at room temperature
Biology
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

Explanation:

given cells at incubation = 2 million (2 x 10^6) Staph

cells at the start of incubation = 200 Staph

Total time =6hrs = 360minutes

Recalling that Number of generations = Log(cells at incubation) - Log (cells at the start of incubation)/0.301

  • Number of generations = Log 2000000 - log 200 /0.301

        = 20.93 generations.

  • hence generation time = total time/number of generations

        = 360/20.93 = 17.20minutes

as said, that the apple pie is left after 2hrs, it implies 8hrs (480minutes) will be the new total time; number of generations = total time / generation time

= 480/17.20minutes =  27.90 generations

  • hence total number of bacteria after 8hrs = 2^n generations x initial number of bacteria

       = 2^27.90 x 200 staph = 5.009 x 10^10 bacteria

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