High School

Eric wants to line the outside of a square lawn with a fence. The lawn has a side length of [tex]s[/tex] feet. The fencing costs [tex]\$12[/tex] per linear foot.

What function represents the total cost of the fence?

A. [tex]C(s) = 4s[/tex]
B. [tex]C(s) = 12s[/tex]
C. [tex]C(s) = 4s^2[/tex]
D. [tex]C(s) = 48s[/tex]

Answer :

To determine the total cost of the fence, follow these steps:

1. The lawn is square with side length [tex]$s$[/tex], so its perimeter is given by:
[tex]$$
\text{Perimeter} = 4s.
$$[/tex]

2. The cost of the fence is [tex]$\$[/tex]12[tex]$ per linear foot. To find the total cost $[/tex]C(s)[tex]$, multiply the perimeter by the cost per foot:
$[/tex][tex]$
C(s) = 12 \times (4s) = 48s.
$[/tex][tex]$

Thus, the function that represents the total cost of the fence is:
$[/tex][tex]$
C(s) = 48s.
$[/tex]$

This corresponds to option (S).

Other Questions