Question 1163015
the equation is p(t) = 35000 + 10000 / (t+2)^3
as t becomes progressively larger, the expression 10000 / (t + 2) ^ 3 becomes progressively smaller until it approaches 0.
this means the population will approach 35,000 in the long run.
for example:
when t = 0, the formula becomes p(t) = 35000 + 10000 / 2^3 = 36250
when t = 100, the formula becomes p(t) = 35000 + 10000 / 102^3 = 35000.99842,
the larger t gets, the close to 35000 p(t) gets.