The size P of a certain insect population at time t (in days) obeys the function $P(t) = 500e^{0.04t}$
(a) Determine the number of insects at t = 0 days.
(b) What is the growth rate of the insect population?
(c) Graph the function using a graphing utility.
(d) What is the population after 10 days?
(e) When will the insect population reach 700?
(f) When will the insect population double?
(a) The number of insects at t = 0 days is insect(s).
(b) The growth rate of the insect population is %.
(c) Graph $P(t) = 500e^{0.04t}$. Choose the correct graph below. The graphing window is [0,10,1] by [0,1000,100].
(d) The population after 10 days is approximately insect(s).
(Do not round until the final answer. Then round to the nearest whole number as needed.)
(e) It will take about day(s) for the insect population to reach 700.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(f) It will take about day(s) for the insect population to double.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
