A common inhabitant of human intestines is the bacterium Escherichia coli, namedafter the German pediatrician Theodor Escherich, who identified it in 1885. A cell ofthis bacterium in a nutrient-broth medium divides into two cells every 20 minutes.The initial population of a culture is 50 cells.(a) Find the 1elative growth rate.(b) Find an expression for the number of cells after t hours.(c) Find the number of cells after 6 hours.(d) Find the rate of growth after 6 hours.(c) When will the population reach a million cells?
A common inhabitant of human intestines is the bacterium Escherichia coli, namedafter the German pediatrician Theodor Escherich, who identified it in 1885. A cell ofthis bacterium in a nutrient-broth medium divides into two cells every 20 minutes.The initial population of a culture is 50 cells.(a) Find the 1elative growth rate.(b) Find an expression for the number of cells after t hours.(c) Find the number of cells after 6 hours.(d) Find the rate of growth after 6 hours.(c) When will the population reach a million cells?
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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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 50 cells.
(a) Find the 1elative growth rate.
(b) Find an expression for the number of cells after t hours.
(c) Find the number of cells after 6 hours.
(d) Find the rate of growth after 6 hours.
(c) When will the population reach a million cells?
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