Question

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.(
d. find the rate of growth after 7 hours. (round your answer to the nearest integer.)

Answer 1

Dividing of cells a sample problems of geometric progression. Given that the intial number of cells is 40, then it will double every 20 minutes. Within 7 hours the cells will divide into w by 21 times. So the number of cells after 7 hrs is 4,194,040 cells.