Homework: Ho A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(e) Time (hours), x Population, y 0 0.16 0.31 0.44 0.58 0.82 5555 (a) Treating time, x, as the predictor variable, use a graphing utility to fit an exponential function to the data. y=ab*= (Round to four decimal places as needed.)
Homework: Ho A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(e) Time (hours), x Population, y 0 0.16 0.31 0.44 0.58 0.82 5555 (a) Treating time, x, as the predictor variable, use a graphing utility to fit an exponential function to the data. y=ab*= (Round to four decimal places as needed.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
Related questions
Question
100%
![**Homework: Homework 7**
**Problem Statement:**
A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(c).
| Time (hours), x | Population, y |
|-----------------|----------------|
| 0 | 0.16 |
| 2.5 | 0.31 |
| 3.5 | 0.44 |
| 4.5 | 0.58 |
| 6 | 0.82 |
**Part (a):**
Treating time, \( x \), as the predictor variable, use a graphing utility to fit an exponential function to the data.
**Exponential Function:**
\[ y = ab^x \]
(Round to four decimal places as needed.)
**Additional Resources:**
- View an example
- Textbook
**Interactive Elements:**
- Clear all
- Check answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F532926f3-4b43-4cc7-9179-861836f9d644%2F34019154-9694-4dcd-a483-632b65ae48b3%2F98303a9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Homework: Homework 7**
**Problem Statement:**
A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(c).
| Time (hours), x | Population, y |
|-----------------|----------------|
| 0 | 0.16 |
| 2.5 | 0.31 |
| 3.5 | 0.44 |
| 4.5 | 0.58 |
| 6 | 0.82 |
**Part (a):**
Treating time, \( x \), as the predictor variable, use a graphing utility to fit an exponential function to the data.
**Exponential Function:**
\[ y = ab^x \]
(Round to four decimal places as needed.)
**Additional Resources:**
- View an example
- Textbook
**Interactive Elements:**
- Clear all
- Check answer
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 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning