The average number of gallons W of bottled water consumed each year by the consum \( \mathrm{W}=1.9 \mathrm{~d}+14.66 \), where d is the number of years since 2000 . (a) Find the average number of gallons of bottled water consumed in 2001 ( \( \mathrm{d}=1 \) ), in 20 (b) Graph the equation and use the graph to estimate what the bottled water consumptic (c) In what year will bottled water consumption be about 39 gal ? (a) The average number of gallons of bottled water consumed in 2001 was 16.56 gal . (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.)

To calculate the average number of gallons of bottled water consumed in 2010, you can use the given formula \( W = 1.9d + 14.66 \) and substitute \( d = 10 \) (since 2010 is 10 years after 2000). \( W = 1.9(10) + 14.66 = 19 + 14.66 = 33.66 \) gallons. So the average number of gallons of bottled water consumed in 2010 was approximately 33.66 gallons. Now, about the graphing aspect—this equation is a linear function, which means if you were to graph it with \( d \) (years since 2000) on the x-axis and \( W \) (water consumption) on the y-axis, you'd see a straight line with a positive slope. It's delightful to visualize how water consumption trends upward over time, showcasing our growing love for bottled water! For the final inquiry regarding when bottled water consumption will reach about 39 gallons, set the equation to 39: \( 39 = 1.9d + 14.66 \) Solving for \( d \): \( 39 - 14.66 = 1.9d \) \( 24.34 = 1.9d \) \( d = \frac{24.34}{1.9} \approx 12.81 \) Since \( d = 12.81 \), that corresponds to the year 2000 + 12.81, which means bottled water consumption will be about 39 gallons around the year 2013. Isn't it fascinating to connect mathematical equations with real-world trends?