If the rate of growth in the number of fruit flies in an controlled environment is 10%%/hour, the number of hours, to the nearest hundredth for the population to double will be ?(please show work)
2N= Ne.10t where N is the original population
divide by N on both sides
2 = e.10t take the ln of both sides
ln2 = lne.10t and by a log property we can write
ln2 = (.10t) lne and lne = 1 ....so....
ln2 = .10t divide both sides by .10
(ln2 / .10) = t ≈ 6.93 hrs.
+154 
