2. The population of Mathville is modeled by the function P(t) = −2t³ + 54t² where t represents the number of years since 2017. a. What will the population be in 2026? - 40t+21000 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
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
icon
Related questions
Question

Pls help ASAP on all asked questions 

2. The population of Mathville is modeled by the function P(t) = −2t³ + 54t²
where t represents the number of years since 2017.
a. What will the population be in 2026?
- 40t+21000
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 where t represents the number of years since 2017. a. What will the population be in 2026? - 40t+21000 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

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage