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Homework Help: Math

Posted by Leanna on Tuesday, March 6, 2012 at 11:04pm.

The size of a bacteria population is given by P=C*e^(kt) Where C is the initial size of the population, k is the growth rate constant and t is time in minutes.
a) If the bacteria in the population double their number every minute, what is the value of k?

I need help please!

• Math - MathMate, Tuesday, March 6, 2012 at 11:12pm

  P(0)=Ce^(k*0)=C
  P(1)=Ce^(k*1)=Ce^k
  P(1)/P(0)=2=(ce^k)/C=e^k
  Take natural log
  ln(2)=ln(e^k)=k
  k=ln(2)=0.6931 approx.
  

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