College Algebra & Trigonometry, 2018a

154 CHAPTER 3. EXPONENTS AND LOGARITHMS
3) Fish Population
The number of bass in a lake can be modeled using the given equation:
P (t) =
3600
1+7e −0.05t
where t is the number of months that have passed since the lake was stocked with
bass. In each question below, round your answer to the nearest whole number.
a) How many bass were in the lake immediately after it was stocked?
b) How many bass were in the lake 1 year after it was stocked?
4) Bird Population
The population of a certain species of bird is limited by the type of habitat required
for nesting. The population can be modeled using the following equation:
P (t) =
5600
0.5+27.5e −0.044t
where t is the number of years. In each question below, round your answer to the
nearest whole number.
a) Find the initial bird population.
b) What is the population 100 years later?