me table below shows the production of tobacco in the US, in millions of pounds.¹ Year Year 2006 2007 Production 728 788 801 823 718 Production 2008 2009 2010 2013 2014 2015 www.statista.com, accessed March 3, 2020. 724 2016 2017 2011 2012 598 763 2018 2019 876 719 629 710 533 468 (a) What is the average rate of change in tobacco production between 2008 and 2019? Give units and interpret your answer in terms of tobacco production. Round your answer to two decimal places. In the years between 2008 and 2019, the production of tobacco at a rate of approximately
me table below shows the production of tobacco in the US, in millions of pounds.¹ Year Year 2006 2007 Production 728 788 801 823 718 Production 2008 2009 2010 2013 2014 2015 www.statista.com, accessed March 3, 2020. 724 2016 2017 2011 2012 598 763 2018 2019 876 719 629 710 533 468 (a) What is the average rate of change in tobacco production between 2008 and 2019? Give units and interpret your answer in terms of tobacco production. Round your answer to two decimal places. In the years between 2008 and 2019, the production of tobacco at a rate of approximately
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![## Tobacco Production in the US (2006-2019)
### Historical Data on Tobacco Production
The table below presents the production of tobacco in the United States from 2006 to 2019, measured in millions of pounds.
| Year | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 |
|------|------|------|------|------|------|------|------|
| Production (million lbs) | 728 | 788 | 801 | 823 | 718 | 598 | 763 |
| Year | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
|------|------|------|------|------|------|------|------|
| Production (million lbs) | 724 | 876 | 719 | 629 | 710 | 533 | 468 |
*Source: www.statista.com, accessed March 3, 2020.*
### Analysis
**(a)** Calculate the average rate of change in tobacco production between 2008 and 2019. Provide your answer in terms of tobacco production, rounded to two decimal places.
The formula for the average rate of change is:
\[
\text{Average Rate of Change} = \frac{\text{Production in 2019} - \text{Production in 2008}}{\text{2019 - 2008}}
\]
**(b)** During the thirteen-year span shown, identify any one-year intervals with a positive average rate of change. If applicable, indicate the year(s).
This data can be useful for understanding trends in agricultural production and economic shifts over the given period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3cab0b-1b9d-46af-aea0-f4a60a0a3a8d%2F711d12c4-6402-4a32-bf7e-4739bf5c8863%2Fddy313y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Tobacco Production in the US (2006-2019)
### Historical Data on Tobacco Production
The table below presents the production of tobacco in the United States from 2006 to 2019, measured in millions of pounds.
| Year | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 |
|------|------|------|------|------|------|------|------|
| Production (million lbs) | 728 | 788 | 801 | 823 | 718 | 598 | 763 |
| Year | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
|------|------|------|------|------|------|------|------|
| Production (million lbs) | 724 | 876 | 719 | 629 | 710 | 533 | 468 |
*Source: www.statista.com, accessed March 3, 2020.*
### Analysis
**(a)** Calculate the average rate of change in tobacco production between 2008 and 2019. Provide your answer in terms of tobacco production, rounded to two decimal places.
The formula for the average rate of change is:
\[
\text{Average Rate of Change} = \frac{\text{Production in 2019} - \text{Production in 2008}}{\text{2019 - 2008}}
\]
**(b)** During the thirteen-year span shown, identify any one-year intervals with a positive average rate of change. If applicable, indicate the year(s).
This data can be useful for understanding trends in agricultural production and economic shifts over the given period.
![### Transcription
---
#### Instructional Task
**In the years between 2008 and 2019, the production of tobacco [dropdown menu] at a rate of approximately [text box].**
---
**(b) During the thirteen-year period shown in the table, are there any one-year intervals during which the average rate of change was positive? If so, when?**
- [ ] 2006–2007
- [ ] 2007–2008
- [ ] 2008–2009
- [ ] 2009–2010
- [ ] 2010–2011
- [ ] 2011–2012
- [ ] 2012–2013
- [ ] 2013–2014
- [ ] 2014–2015
- [ ] 2015–2016
- [ ] 2016–2017
- [ ] 2017–2018
- [ ] 2018–2019
- [ ] No such intervals
### Diagram Explanation
No graphs or diagrams are present in the given image. Users need to complete fields using dropdown menus and check boxes based on data outside of the visible text.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3cab0b-1b9d-46af-aea0-f4a60a0a3a8d%2F711d12c4-6402-4a32-bf7e-4739bf5c8863%2F40siidf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription
---
#### Instructional Task
**In the years between 2008 and 2019, the production of tobacco [dropdown menu] at a rate of approximately [text box].**
---
**(b) During the thirteen-year period shown in the table, are there any one-year intervals during which the average rate of change was positive? If so, when?**
- [ ] 2006–2007
- [ ] 2007–2008
- [ ] 2008–2009
- [ ] 2009–2010
- [ ] 2010–2011
- [ ] 2011–2012
- [ ] 2012–2013
- [ ] 2013–2014
- [ ] 2014–2015
- [ ] 2015–2016
- [ ] 2016–2017
- [ ] 2017–2018
- [ ] 2018–2019
- [ ] No such intervals
### Diagram Explanation
No graphs or diagrams are present in the given image. Users need to complete fields using dropdown menus and check boxes based on data outside of the visible text.
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