37. The population of Mathville is modelled by the function P(t) where t represents the number of years since 2015. a. What will the population be in 2023? = -2t354t2 - 40t + 21000 b. Determine the average rate of change of the population from 2018 to 2028. c. Estimate the instantaneous rate of change of the population in 2037.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
icon
Related questions
Question

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

37. The population of Mathville is modelled by the function P(t)
where t represents the number of years since 2015.
a. What will the population be in 2023?
=
-2t354t2 - 40t + 21000
b. Determine the average rate of change of the population from 2018 to 2028.
c. Estimate the instantaneous rate of change of the population in 2037.
Transcribed Image Text:37. The population of Mathville is modelled by the function P(t) where t represents the number of years since 2015. a. What will the population be in 2023? = -2t354t2 - 40t + 21000 b. Determine the average rate of change of the population from 2018 to 2028. c. Estimate the instantaneous rate of change of the population in 2037.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage