A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2 hours and 117,649 after 6 hours. a) What is the relative growth rate? Enter the exact value for k. k = b) What was the initial size of the culture? π aº ∞ a ≤va sin b P(t) = cells c) Find an expression for the number of bacteria after t hours. Preview
A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2 hours and 117,649 after 6 hours. a) What is the relative growth rate? Enter the exact value for k. k = b) What was the initial size of the culture? π aº ∞ a ≤va sin b P(t) = cells c) Find an expression for the number of bacteria after t hours. Preview
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
Related questions
Question
![A bacteria culture grows with a constant relative growth rate. The bacteria count was
784 after 2 hours and 117,649 after 6 hours.
a) What is the relative growth rate? Enter the exact value for k.
k
b) What was the initial size of the culture?
ㅠ
<√a sin
c) Find an expression for the number of bacteria after t hours.
P(t) =
a
∞
cells
Preview](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe192fe17-3d15-43f1-9083-5e30f93ccdf8%2Fbe0d64ca-a00e-4d5c-8557-edd8644530c0%2F7w89kde_processed.png&w=3840&q=75)
Transcribed Image Text:A bacteria culture grows with a constant relative growth rate. The bacteria count was
784 after 2 hours and 117,649 after 6 hours.
a) What is the relative growth rate? Enter the exact value for k.
k
b) What was the initial size of the culture?
ㅠ
<√a sin
c) Find an expression for the number of bacteria after t hours.
P(t) =
a
∞
cells
Preview
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
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
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
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
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning