Results 1 to 2 of 2

Math Help - Exponential growth

  1. #1
    Junior Member
    Joined
    Nov 2007
    Posts
    52

    Exponential growth

    A formula for the rate of chnage in population of a colony of bacteria is given by P=3200 + 400e^{kt}

    If the population doubles after 20 hours, how long will it take to triple the original population?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1
    Quote Originally Posted by nerdzor View Post
    A formula for the rate of chnage in population of a colony of bacteria is given by P=3200 + 400e^{kt}

    If the population doubles after 20 hours, how long will it take to triple the original population?
    You are given that the population doubles after 20 hours:

    6400 = 3200 + 400e^{20k}

    Solve for k.

    Then plug k into your solution with the original amount tripled:

    <br />
9600 = 3200 + 400e^{kt}

    *Solve for t!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Exponential Growth
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 25th 2009, 09:52 PM
  2. exponential growth
    Posted in the Pre-Calculus Forum
    Replies: 0
    Last Post: November 6th 2008, 07:37 PM
  3. Exponential Growth
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 1st 2008, 08:17 AM
  4. Exponential Growth
    Posted in the Business Math Forum
    Replies: 1
    Last Post: September 10th 2008, 02:54 PM
  5. exponential growth help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 15th 2007, 04:16 PM

Search Tags


/mathhelpforum @mathhelpforum