Stats Solutions

(Step-by-Step) A population of bacteria grows according to equation: (dP)/(dt)=kP Assume that P(0)=100 and P(6)=100,000. Find k . At what time does the population

Question: A population of bacteria grows according to equation:

\[\frac{dP}{dt}=kP\]
  1. Assume that \(P\left( 0 \right)=100\) and \(P\left( 6 \right)=100,000\). Find k .
  2. At what time does the population reach 100,000,000?

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