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 .

Find an expression for the number of bacteria after t hours.
P(t) =

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

Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)
P'() = bacteria per hour

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