1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Number of bacteria in a culture

  1. Oct 14, 2014 #1
    1. The problem statement, all variables and given/known data
    The number of bacteria in a culture is given by the formula n(t) = 700e0.65t, where t is measured in hours.

    What is the initial population n0 of the culture (at t = 0)?
    n0 =

    Approximately how many bacteria, N, will the culture contain after 5 hours?
    N =


    3. The attempt at a solution
    The number of bacteria in a culture is given by the formula n(t) = 700e0.65t, where t is measured in hours.

    What is the initial population n0 of the culture (at t = 0)?
    n0 = 700 because 700e^0.65(0) is itself at that time

    Approximately how many bacteria, N, will the culture contain after 5 hours?
    N = 6704.40 because 700e^0.65(5) is that outcome. However it tells me to approximate I did that to the 39^ to 40. However, it seems this is incorrect. Please explain why, thank you.
     
  2. jcsd
  3. Oct 14, 2014 #2

    RUber

    User Avatar
    Homework Helper

    I think you are saying ##700e^{.65t}##
    Where t=5 this is ## 700*e^{3.25}##
    Your calculation is not that.
    Round to the nearest whole bacterium if they did not tell you a certain number of significant digits to use.
     
  4. Oct 14, 2014 #3

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member



    I don't get 6704.4 for that calculation.

    I have no idea what that last sentence means.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Number of bacteria in a culture
  1. Number Sequences (Replies: 2)

  2. Complex numbers (Replies: 6)

Loading...