A common inhabitant of human intestines is the bacterium Escherichia coli. A cel

Question

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 69 cells.

a) Find the relative growth rate.
b) Find an expression for the number of cells after t hours.
c) Find the number of cells after 8 hours.
d) Find the rate of growth after 8 hours. (Round your answer to three decimal places.)
e) When will the population reach 20,000 cells? (Round your answer to two decimal places.)

Explanation / Answer

a) k= 3 ln(2)

b) y= 69*8^t

c) 1157627904 cells

d)2.407E9

e)2.726 hours

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