Question

1. A population of tropical fish is decreasing at an annual rate of 6% per year.
(a) Write an equation to represent the total population of tropical fish as a function of time in years.
(b) What is the monthly rate of decrease? Show your work.

Answer 1

a) P(t) = Po(1 - 0.06)^t
P(t) = Po(0.94)^t
where Po is the initial population of the fish and t is the time.

b.) Monthly rate of decrease = 6%/12 = 0.5%