The population of a town, in thousands, is described by the function P(t) = -1.5t² + 36t+ 6, where t is the number of years after 2000. a) What is the average rate of change in the population between the year 2000 and 2024? b) Does your answer to part (a) make sense? Does it mean that there was no change in the population from 2000 to 2024.
The population of a town, in thousands, is described by the function P(t) = -1.5t² + 36t+ 6, where t is the number of years after 2000. a) What is the average rate of change in the population between the year 2000 and 2024? b) Does your answer to part (a) make sense? Does it mean that there was no change in the population from 2000 to 2024.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3 The population of a town, in thousands, is described by the function
P(t) = -1.5t² + 36t+ 6, where t is the number of years after 2000.
a) What is the average rate of change in the population between the year
2000 and 2024?
b) Does your answer to part (a) make sense? Does it mean that there was no
change in the population from 2000 to 2024.
c) Explain your answer to part (b) by finding the average rate of change in
the population from 2000 to 2012 and from 2012 to 2024.
d) For what value of t is the instantaneous rate of change in the population 0?
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