The average number of gallons W of bottled water consumed each year by the consumer can be approximated by W $$ =1.5 \mathrm{~d}+20.89 $$, where d is the number of years since 200 (a) Find the average number of gallons of bottled water consumed in 2001 ( $$ \mathrm{d}=1 $$ ), in 2010 , and in 2015 . (b) Graph the equation and use the graph to estimate what the bottled water consumption was in 2008 . (c) In what year will bottled water consumption be about 37 gal? (a) The average number of gallons of bottled water consumed in 2001 was (Type an integer or a decimal.) The average number of gallons of bottled water consumed in 2010 was $$ \square \mathrm{gal} $$. (Type an integer or a decimal.) The average number of gallons of bottled water consumed in 2015 was $$ \square \mathrm{gal} $$. (Type an integer or a decimal.)

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UpStudy AI · Accepted Answer

Let's solve part (a) of the problem using the given equation:

$$ W = 1.5d + 20.89 $$

where:
- $$ W $$ is the average number of gallons of bottled water consumed each year.
- $$ d $$ is the number of years since 2000.

### Calculations:

1. **For 2001 ($$ d = 1 $$):**
   $$
   W = 1.5 \times 1 + 20.89 = 1.5 + 20.89 = 22.39 \text{ gallons}
   $$

2. **For 2010 ($$ d = 10 $$):**
   $$
   W = 1.5 \times 10 + 20.89 = 15 + 20.89 = 35.89 \text{ gallons}
   $$

3. **For 2015 ($$ d = 15 $$):**
   $$
   W = 1.5 \times 15 + 20.89 = 22.5 + 20.89 = 43.39 \text{ gallons}
   $$

### Summary of Answers:

- **2001:** $$ 22.39 $$ gallons
- **2010:** $$ 35.89 $$ gallons
- **2015:** $$ 43.39 $$ gallons
- **2001:** 22.39 gallons - **2010:** 35.89 gallons - **2015:** 43.39 gallons

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