A bacteria culture grows with constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000.
(a) Find the initial population.
(b) Find an expression for the population after t hours.
(c) Find the number of cells after 3 hours.
(d) Find the rate of growth after 3 hours.
(e) When will the population reach 200,000?