Question

Tamara is having a blue stone liner installed around her 120-foot perimeterpool. The Water Is Wet Pool Company charges a $675 service fee, plus acertain dollar amount per foot of liner. If Tamara paid $2,475 for the entireinstallation, what was the dollar amount per foot of liner?F$7.50G$12.00H$15.00J$21.00

Answer 1

The cost of the instalation can be found by adding the fixed fee of 675 to the cost per feet multiplied by the length of the perimeter. We have:

`\text{cost = 675+(fee per foot)}\cdot x`

Where x is the length of the perimeter. In this case the perimeter is 120 feet. And the cost was $2,475.

`\begin{gathered} 2475\text{ = 675 + (fee per foot)}\cdot120 \\ (\text{ fee per foot)= }\frac{\text{2475-675}}{120}e\text{ per foot)= }\frac{\text{2475-675}}{120} \\ (\text{ feet per foot) = }(1800)/(120)=15 \end{gathered}`

The cost is $15 per foot.