A bacteria culture grows with constant relative growth rate. After 2 hours there are bacteria and after 8 hours the count is .

  1. Find the initial population.

    P(0) = bacteria

  2. Find an expression for the population after t hours.

    P(t) =

  3. Find the number of cells after hours.

    P() = bacteria

  4. Find the rate of growth after hours.

    P'() = bacteria/hour

  5. When will the population reach 200,000?

    t = hours