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Answer :
The function that represents the total cost of the fence for a square lawn of side length s feet is C(s) = 48s, with the cost of the fencing at $12 per linear foot.
To determine the total cost of the fence, we first need to calculate the total length of fencing required which would be the perimeter of the square lawn. The perimeter P of a square with side length s is given by P = 4s.
Next, since the cost of fencing is $12 per linear foot, we multiply the perimeter by the cost per foot to obtain the total cost function. Therefore, the function C(s) = 12 × 4s represents the total cost of the fence, where s is the side length of the square lawn in feet and C(s) is the total cost in dollars.
Simplifying the function, we get C(s) = 48s. This function can be used to find the total cost for any given side length s.
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