The population P (t) of a culture of the bacterium Pseudomonas aeruginosa is given by P (t) = -1687:+85,000t+10,000, where t is the time in hours since the culture was started. Part: 0/ 2 Part 1 of 2 (a) Determine the time at which the population is at a maximum. Round to the nearest hour. The population is at a maximum approximately hours after the culture was started.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 34CT: The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model...
icon
Related questions
Question
The population P (t) of a culture of the bacterium Pseudomonas aeruginosa is given by P (t) = - 1687t +85,000t+10,000, where
t is the time in hours since the culture was started.
Part: 0 / 2
Part 1 of 2
(a) Determine the time at which the population is at a maximum. Round to the nearest hour.
The population is at a maximum approximately
hours after the culture was started.
Transcribed Image Text:The population P (t) of a culture of the bacterium Pseudomonas aeruginosa is given by P (t) = - 1687t +85,000t+10,000, where t is the time in hours since the culture was started. Part: 0 / 2 Part 1 of 2 (a) Determine the time at which the population is at a maximum. Round to the nearest hour. The population is at a maximum approximately hours after the culture was started.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill