Results 1 to 2 of 2

Math Help - cell division

  1. #1
    Newbie
    Joined
    Oct 2007
    Posts
    13

    cell division

    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 60 cells.
    (a) Find the relative growth rate.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    Quote Originally Posted by pageraets View Post
    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 60 cells.
    (a) Find the relative growth rate.
    hmm, A(t) = (A_0)e^(kt)
    notice that A_0 = 60. at t=20, A(20)=60e^(20k) = 120
    so, e^(20k)=2; or k=(ln2)/20
    therefore, A(t) = 60e^(t(ln2)/20) = 60(2^(t/20)) where t is in minutes.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Add new row to cell array
    Posted in the Math Software Forum
    Replies: 8
    Last Post: June 22nd 2010, 10:14 PM
  2. Replies: 1
    Last Post: June 1st 2010, 06:09 PM
  3. Peaucellier's cell
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: March 10th 2010, 12:43 PM
  4. cell division
    Posted in the Calculus Forum
    Replies: 0
    Last Post: October 25th 2007, 06:11 PM
  5. Cell phone
    Posted in the Statistics Forum
    Replies: 0
    Last Post: February 26th 2006, 02:51 PM

Search Tags


/mathhelpforum @mathhelpforum