Results 1 to 2 of 2

Math Help - Population Growth.... Help Please!

  1. #1
    Junior Member
    Joined
    Aug 2007
    From
    Houston, TX
    Posts
    46

    Population Growth.... Help Please!

    A certain species of virulent bacteria is being grown in a culture. It is observed that the rate of growth of the bacterial population is proportional to the number present. If there were 4000 bacteria in the initial population and the number doubled after the first 60 minutes, how many bacteria will be present after 3 hours?

    I was confused when it said "the bacterial population is proportional to the number present." How would that be written?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,939
    Thanks
    338
    Awards
    1
    Quote Originally Posted by runner07 View Post
    A certain species of virulent bacteria is being grown in a culture. It is observed that the rate of growth of the bacterial population is proportional to the number present. If there were 4000 bacteria in the initial population and the number doubled after the first 60 minutes, how many bacteria will be present after 3 hours?

    I was confused when it said "the bacterial population is proportional to the number present." How would that be written?
    Call the population size at time t N(t). Then the rate of growth of the population at time t will be \frac{dN}{dt}. The proportionality statement says:
    \frac{dN}{dt} \propto N(t)

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Population Growth
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 19th 2009, 02:01 PM
  2. Population growth with non-constant growth factor
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: February 3rd 2009, 04:46 PM
  3. Population Growth
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 25th 2009, 01:09 PM
  4. Population Growth
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 14th 2008, 12:38 PM
  5. Population Growth
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: September 26th 2007, 12:59 PM

Search Tags


/mathhelpforum @mathhelpforum