I have an inkling that your equation might be
p(t) = (25t^2 + 125t + 200)/(t^2 + 2t + 100)
current ----> t = 0
p(0) = 200/100 = 2, but it was measured in thousands
so the current population is 2000
in the long run ----> x --> ∞
as x gets bigger, we are left with the dominating terms of 25t^2/t^2 , thus the function approaches 25
so in the "long run" the population would be 25000
A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Clove's population (in thousands) t yr from now will be given by the following function.
p(t)=25t^2+125t+200/t^2+2t+100
(a) What is the current population of Glen Cove?
?? people
(b) What will be the population in the long run?
?? people
1 answer
1 answer