Consider an ecosystem of rabbits in a park that starts with 10 rabbits and can sustain up to 60 rabbits. An equ that roughly models this scenario is
P=
60
5
1 +
t + 1
where P represents the rabbit population in year t of the study.
a.
b.
What is the rabbit population in year 10? Round your answer to the nearest whole rabbit.
Solve this equation fort. Describe what this equation represents in the context of this problem.
At what time does the population reach 50 rabbits?
C.