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 relative growth rate. ?. hr-1

(b) Find an expression for the number of cells after t hours.

(c) Find the number of cells after 3 hours.: ?. cells

(d) Find the rate of growth after 3 hours. (Round your answer to the nearest integer.) cells/h

(e) When will the population reach a million cells?