The population in thousands of people of a small town can be modeled by the function P(t) = x 2 - 25x + 630 where x = the number of years since 1960. a. What was the population of the town in 1960? b. In what year did the town reach its minimum population? c. What was the minimum population obtained by the town?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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1. The population in thousands of people of a small town can be modeled by the function P(t) = x 2 - 25x + 630 where x = the number of years since 1960.

a. What was the population of the town in 1960?

b. In what year did the town reach its minimum population?

c. What was the minimum population obtained by the town?

d. In what year did the town return to its 1960 population?

e. In what year will the town reach a population of 950 thousand?

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