Chapter 14.3, Problem 54E

(a)

To determine

To calculate: The average annual sales of bottled water over the period 2007-2014, to the nearest gallons per year. The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by $s\left(t\right)=0.25t^2-t+29$ billion gallons per year, where $0\le t\le 7$ and t is time in years since the start of 2007.

(b)

To determine

To calculate: The 2-year moving average of $s\left(t\right)=0.25t^2-t+29$.

(c)

To determine

The kind of function the moving average $\overline{s}\left(t\right)=\frac{1}{2}\left(0.083\left(t^3-{\left(t-2\right)}^3\right)-0.5\left(t^2-{\left(t-2\right)}^2\right)+58\right)$ is without simplifying it.