Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in hours) is given by R(t)=2(t-15)+72t+ 2000. a. At what time before 6 hours will the population be maximized? b. Find the maximum population. a. The population will be maximized at t= 4 hours. b. The maximum population is million bacteria.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
icon
Related questions
Question
100%
Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in hours) is given by R(t) = ²(t-15) +72t+2000.
a. At what time before 6 hours will the population be maximized?
b. Find the maximum population.
a. The population will be maximized at t= 4 hours.
b. The maximum population is million bacteria.
Transcribed Image Text:Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in hours) is given by R(t) = ²(t-15) +72t+2000. a. At what time before 6 hours will the population be maximized? b. Find the maximum population. a. The population will be maximized at t= 4 hours. b. The maximum population is million bacteria.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning