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 52 cells.
Find the rate of growth after 8 hours. (Round your answer to three decimal places.)
answer: 1.814 billion cells per min.
How do you get that?

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 52 cells.
Find the rate of growth after 8 hours. (Round your answer to three decimal places.)
answer: 1.814 billion cells per min.
How do you get that?

anonymous · Answer

nevermind got it

anonymous · Answer

because a general dP/dt = kp and since k is equal to ln(8) and P at 8 hours is 872,415,232 multiplying them comes to 1.814 billion