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Bacteria population formula reach 1 million?

  1. Aug 25, 2012 #1
    1. The problem statement, all variables and given/known data
    dP/dt = (3000)/(1+0.25t)
    This gives the rate population changes at
    We also know P is 1000 when t is 0 (days)

    3. The attempt at a solution
    The anti derivative
    12 000 x Ln(1 + 0.25t) + c
    Do I just make this equation equal to one million?
     
  2. jcsd
  3. Aug 25, 2012 #2
    what is the question asking for?
     
  4. Aug 25, 2012 #3
    the question says the bacteria will overrun the world if its population reaches one million. Its asking if the bacteria will reach that amount
     
  5. Aug 25, 2012 #4
    you can find out integration constant (c) , by plugging in the the value of bacterias given at t=0 .
     
  6. Aug 25, 2012 #5
    So c is 3000
     
  7. Aug 25, 2012 #6
    Then find out what the question is asking for using c .
     
  8. Aug 25, 2012 #7
    So make the equation equal to one million and solve?
     
  9. Aug 25, 2012 #8
    yes sir :)
     
  10. Aug 25, 2012 #9
    Thank you!
     
  11. Aug 25, 2012 #10

    ehild

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    No, P=12 000 x Ln(1 + 0.25t) + c=1000 at t=0. What is the correct value of c?

    ehild
     
  12. Aug 25, 2012 #11
  13. Aug 25, 2012 #12

    ehild

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    Yes.

    ehild
     
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