Question: The size of a certain insect population is given by P(t)=100e^.031t, where t is measured in days.

(a) How many insects were present initially?

(b) Give a differential equation satisfied by P(t).

(c) At what time will the population double?

(d) At what time will the population reach 600?

(a) How many insects_________

(b) Choose the correct differential equation below.

A. P’(t)=.03P(t)

B. P’(t)=In .03t

C. P’(t)= e^.03t

D. P’(t)= .03e^.03t

(c) t≈____ days. Round to nearest decimal point as needed.

(d) t≈____ days Round to nearest decimal point as needed.