#3 The population in a region can be approximated by the function P(t) = 325 + (t + 10)e-(t+10)/20 where t is the number of years since 2000 and P(t) is in millions. In what year is the population predicted to be largest? What is the population predicted in that year?

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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#3 The population in a region can be approximated by the function
P(t) = 325 + (t + 10)e-(t+10)/20
where t is the number of years since 2000 and P(t) is in millions. In what year is the
population predicted to be largest? What is the population predicted in that year?
Transcribed Image Text:#3 The population in a region can be approximated by the function P(t) = 325 + (t + 10)e-(t+10)/20 where t is the number of years since 2000 and P(t) is in millions. In what year is the population predicted to be largest? What is the population predicted in that year?
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