To test a theory of fruit flies reaching a carrying capacity, the Laurel Springs Science Club creates an environment that will attract fruit flies to a 2-cup glass jar in which is placed food and a stimulus for the fruit flies to lay eggs. The students track the population growth of the fruit flies and find the following equation to fit the growth: P(t) = 230 / 1 + 5.6 5e ^ -0.37 t 1) Determine the initial population.
2 )What is the population after 5 days?
3)How long does it take for the population to reach 180?
4) How long does it take for the population to reach one-half of the carrying capacity?