Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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### Health Statistics

The table below presents the percentage of adults considered drinkers or smokers over several years. 

- **Drinkers** are defined as individuals who had five or more drinks in one day at least once during a recent year.
- **Smokers** are those who smoked more than 100 cigarettes in their lifetime and smoked daily or semi-daily.

**Data Source: National Health Interview Survey**

| Year    | 2001 | 2002 | 2003 | 2004 | 2005 |
|---------|------|------|------|------|------|
| Drinkers (%) | 20.0 | 19.9 | 19.1 | 19.1 | 19.5 |
| Smokers (%)  | 22.7 | 22.4 | 21.6 | 20.9 | 20.9 |

#### Questions:
(a) Sketch a line graph for each data set.

(b) Describe any trends that appear.

---

### Graph Description:

When sketching a line graph for this data:

- **X-axis (horizontal)**: Represents the years from 2001 to 2005.
- **Y-axis (vertical)**: Represents the percentage of adults (ranging roughly from 18% to 23%).

#### Drinkers:
- Begin at 20.0% in 2001, slightly decreasing each year, reaching 19.1% by 2003 and 2004, and then increasing to 19.5% in 2005.

#### Smokers:
- Start at 22.7% in 2001 and show a gradual decline each year, landing at 20.9% in 2004 and maintaining that level in 2005.

### Trend Analysis:

- **Drinkers**: The percentage shows a general decline from 2001 to 2004, followed by a slight increase in 2005.
- **Smokers**: There is a consistent decreasing trend from 2001 to 2005.

This data suggests a gradual reduction in both drinking and smoking rates over the years, with a small uptick in drinking in 2005.
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Transcribed Image Text:### Health Statistics The table below presents the percentage of adults considered drinkers or smokers over several years. - **Drinkers** are defined as individuals who had five or more drinks in one day at least once during a recent year. - **Smokers** are those who smoked more than 100 cigarettes in their lifetime and smoked daily or semi-daily. **Data Source: National Health Interview Survey** | Year | 2001 | 2002 | 2003 | 2004 | 2005 | |---------|------|------|------|------|------| | Drinkers (%) | 20.0 | 19.9 | 19.1 | 19.1 | 19.5 | | Smokers (%) | 22.7 | 22.4 | 21.6 | 20.9 | 20.9 | #### Questions: (a) Sketch a line graph for each data set. (b) Describe any trends that appear. --- ### Graph Description: When sketching a line graph for this data: - **X-axis (horizontal)**: Represents the years from 2001 to 2005. - **Y-axis (vertical)**: Represents the percentage of adults (ranging roughly from 18% to 23%). #### Drinkers: - Begin at 20.0% in 2001, slightly decreasing each year, reaching 19.1% by 2003 and 2004, and then increasing to 19.5% in 2005. #### Smokers: - Start at 22.7% in 2001 and show a gradual decline each year, landing at 20.9% in 2004 and maintaining that level in 2005. ### Trend Analysis: - **Drinkers**: The percentage shows a general decline from 2001 to 2004, followed by a slight increase in 2005. - **Smokers**: There is a consistent decreasing trend from 2001 to 2005. This data suggests a gradual reduction in both drinking and smoking rates over the years, with a small uptick in drinking in 2005.
Expert Solution
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Step 1

a)

Plot the number of drinkers and smokers on the y-axis and years on the x-axis

Calculus homework question answer, step 1, image 1

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