In a certain culture of bacteria the rate of change increase is proportional to the number present.
Let x (t) be the bacteria at time t hours.
(a) If it is found that the number doubles in 4 hours and x (0) = 500 , how many may be expected at the end of 12 hours ?
(b) If there are 800 at the end of 3 hours and 3200 at the end of 5 hours, how many were there in the beginning ?