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).
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).