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

Step-by-step explanation:

Given that 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.

Initial population = 71 cells

Doubles in 1/3 of an hour

, where t is the no of hours.

Rate of growth = derivative of P

=

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