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The Growth Rate of the Bacterium, a Common Bacterium Found

question 47

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The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional to its size.Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min.If the initial cell population is 100, determine the function Q(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes) .How long will it take for a colony of 100 cells to increase to a population of 1 million? If the initial cell population were 1,000, how would this alter the model?


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