The population P of Germany (in thousands) from 2000 through 2013 can be modeled by P(t)

Chapter 3, Problem 70

(choose chapter or problem)

Demography

The population P of Germany (in thousands) from 2000 through 2013 can be modeled by

\(P(t)=-14.82 t^{2}+95.9 t+82,276, \quad 0 \leq t \leq 13\)

where t is the year, with t = 0 corresponding to 2000. (Source: U.S. Census Bureau)

(a) According to the model, in what year did Germany have its greatest population? What was the population?

(b) According to the model, what will Germany’s population be in the year 2075? Is this result reasonable? Explain.

Text Transcription:

P(t)=-14.82 t^{2}+95.9 t+82,276, 0 <= t <= 13