In genetic research the small colony of drosophila (small two-winged fruit flies) is grown in the laboratory environment. After three days it is observed that population of flies in colony has increased to 300. After seven days the colony has 600 flies.
(a) Determine the model
P(t) = P0ekt
for population of fruit-fly colony after t days.
(b) Find population of colony in 14 days?
(c) Find population of colony be 5000 fruit flies?