Question

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to .

1. Find an expression for the number of bacteria after t hours.

   P(t) =

2. Find the number of bacteria after hours. (Round your answer to the nearest whole number.)

   P() = bacteria

3. Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)

   P'() = bacteria per hour

4. When will the population reach 10,000? (Round your answer to one decimal place.)

   t = hr