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 = hr−1 (b) Find an expression for the number of cells after t hours. P(t) = (c) Find the number of cells after 7 hours. cells

a) k=2.07944 (1/hour)

b)

c) P(7)=83,886,080

Step-by-step explanation:

We know that the cells duplicates after 20 minutes (t=1/3 hours).

We can write a model of that as:

a) k=2.0794 h^(-1)

b)

c)

(-1,-0.5)

step-by-step explanation:

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step-by-step explanation:

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