Growth of Bacteria The growth rate of Escherichia coll, 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. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number) min (c) If the initial cell population were 2000, what is our model? Q(t) =
Growth of Bacteria The growth rate of Escherichia coll, 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. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number) min (c) If the initial cell population were 2000, what is our model? Q(t) =
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Growth of Bacteria The growth rate of Escherichia coll, 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.
(a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes).
Q(t) =
(b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.)
min
(c) If the initial cell population were 2000, what is our model?
Q(t) =
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