A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient- broth medium divides into two cells every 20 minutes. The initial population of a culture is 40 cells. (a) Find the relative growth rate. k = 3 In (2) v hr-1 (b) Find an expression for the number of cells after t hours. P(t) = 40-23' (c) Find the number of cells after 2 hours. 2560 V cells (d) Find the rate of growth after 2 hours. (Round your answer to the nearest integer.) 5324 x cells/h (e) When will the population reach a million cells? (Round your answer to two decimal places.) Need Help? Read It

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