Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's rate of change can be modeled by
dP/dt = −145e^−t/30
where t is the time in days. When t = 0, the population is 4350.
(a) Find a model for the population.
P(t) =

(b) What is the population after 11 days? (Round your answer to the nearest integer.)

(c) How long will it take for the entire trout population to die? (Assume the entire population has died off when the population is less then one. Round your answer to one decimal place.)
days