2. The population of Mathville is modeled by the function P(t) = −2t³ + 54t² − 40t+ 21000 where t represents the number of years since 2017. a. What will the population be in 2026? b. Determine the average rate of change of the population from 2019 to 2030. C. Determine the instantaneous rate of change of the population in 2039.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 14PFA
icon
Related questions
Question

Please help on all asked questions. Please show all work and steps. Please circle the final answer.

2. The population of Mathville is modeled by the function P(t) = −2t³ + 54t² − 40t+ 21000
where t represents the number of years since 2017.
a. What will the population be in 2026?
b. Determine the average rate of change of the population from 2019 to 2030.
C. Determine the instantaneous rate of change of the population in 2039.
Transcribed Image Text:2. The population of Mathville is modeled by the function P(t) = −2t³ + 54t² − 40t+ 21000 where t represents the number of years since 2017. a. What will the population be in 2026? b. Determine the average rate of change of the population from 2019 to 2030. C. Determine the instantaneous rate of change of the population in 2039.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning