Acommon 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. i know how to do everything but the last part
k = 3ln(2) hr−1
(b) find an expression for the number of cells after t hours.
p(t) = 40e3tln(2)
(c) find the number of cells after 5 hours.
1310720 cells
(d) find the rate of growth after 5 hours. (round your answer to the nearest integer.)
2725566 cells/h
(e) when will the population reach a million cells? it has to be in the / form.
ln(20,000)ln(5)