Calculus Word Problem
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 65 cells. (The tolerance is 1% unless your instructor states otherwise.)
(a) Find the relative growth rate.
(b) Find an expression for the number of cells after t hours.
(c) Find the number of cells after 6 hours.
(d) Find the rate of growth after 6 hours.
(e) When will the population reach 20,000 cells?
My answers are :
(a) k= http://img40.imageshack.us/img40/2720/paletteimage.gif
(c) 17039360 billion cells
(d)35432353 billion cells per hour
(e) 2.75 hour
According to the book only a and e are correct.
Originally Posted by kashifzaidi
Erasing those weird "billion" you wrote there, I find all the answers correct. Perhaps in part (b) it is writen , but this is exactly the same as what you wrote.