2. The population of Mathville is modelled by the function P(t) = -2t³ + 54t² – 40t + 21000 where t represents the number of years since 2015. a) What will the population be in 2023? · b) Determine the average rate of change of the population from 2018 to 2028.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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2. The population of Mathville is modelled by the function P(t) = -2t3 + 54t² – 40t + 21000 where t represents
the number of years since 2015.
a) What will the population be in 2023? ·
b) Determine the average rate of change of the population from 2018 to 2028.
c) Determine the instantaneous rate of change of the population in 2037.
Transcribed Image Text:2. The population of Mathville is modelled by the function P(t) = -2t3 + 54t² – 40t + 21000 where t represents the number of years since 2015. a) What will the population be in 2023? · b) Determine the average rate of change of the population from 2018 to 2028. c) Determine the instantaneous rate of change of the population in 2037.
3. An earthquake registered a magnitude of 7.8. It was followed by an aftershock with a magnitude of 6.9. How many
times more intense was the initial earthquake than the aftershock?
Transcribed Image Text:3. An earthquake registered a magnitude of 7.8. It was followed by an aftershock with a magnitude of 6.9. How many times more intense was the initial earthquake than the aftershock?
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