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...

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 77 cells. (The tolerance is 1% unless your instructor states otherwise.)(a) Find the relative growth rate.k =1Your answer was incorrect, but has changed from what was graded. cells per hour(b) Find an expression for the number of cells after t hours.P(t) =2Your answer is incorrect.(c) Find the number of cells after 8 hours.3 billion cells(d) Find the rate of growth after 8 hours.4 billion cells per hour(e) When will the population reach 20,000 cells?5 h