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 79 cells.

(a) Find the relative growth rate. (Assume t is measured in hours.)
k =

(b) Find an expression for the number of cells after t hours.
P(t) =

(c) Find the number of cells after 8 hours.
cells
=
(d) Find the rate of growth after 8 hours. (Round your answer to three decimal places.)
billion cells per hour =

(e) When will the population reach 20,000 cells? (Round your answer to two decimal places.)
hr=

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