   Chapter 2.4, Problem 86E

Chapter
Section
Textbook Problem

POPULATION Growth 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 Cove’s population (in thousands) t years from now will be given by P ( t ) = 25 t 2 + 125 t + 200 t 2 + 5 t + 40 a. What is the current population of Glen Cove? b. What will be the population in the long run?

(a)

To determine

To find: The current population of Glen Cove community for the given function.

Explanation

Given information:

The given function is,

P(t)=25t2+125t+200t2+5t+40 (1)

Where,

• P(t) is the population.
• t is time in year.

Calculation:

To find the current population of Glen cove, substitute 0 for t in equation (1)

(b)

To determine

To find: The population of Glen Cove community in the long run for the given function.

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