Question

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