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