A colony of the bacteria B. dendroides is growing in a petri di area A (in square centimeters) can be modeled by A where t is the elapsed time in days. 1 + a. Determine the colony's initial area. b. In how many days will the colony be at its maximum g

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
icon
Related questions
Question
3. A colony of the bacteria B. dendroides is growing in a petri dish. The colony's
area A (in square centimeters) can be modeled by A =
49.9
where t is the elapsed time in days.
1
+134e-1.96t
a. Determine the colony's initial area.
b. In how many days will the colony be at its maximum growth?
Transcribed Image Text:3. A colony of the bacteria B. dendroides is growing in a petri dish. The colony's area A (in square centimeters) can be modeled by A = 49.9 where t is the elapsed time in days. 1 +134e-1.96t a. Determine the colony's initial area. b. In how many days will the colony be at its maximum growth?
Expert Solution
steps

Step by step

Solved in 4 steps

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
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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