Chapter 12.9, Problem 11ES

(a)

To determine

To calculate: An equation of the variation if the cost, C in dollars, to fill a sandbox varies directly as the depth S in inches of the sand, and the director of Creekside Daycare checked at her local hardware store that it would cost $\$67.50$ to fill the daycare’s box with $6\text{ in}$. of sand, thus, she decided to fill the sandbox to a depth of $9\text{ in}$.

(b)

To determine

To calculate: The cost to fill the sandbox to a depth of $9\text{ in}$, if the cost, C in dollars, to fill a sandbox varies directly as the depth S in inches of the sand, and the director of Creekside Daycare checked that it would cost $\$67.50$ to fill the daycare’s box with $\text{6 in}$. of sand..