My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern bounda
ry costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. Find the total cost of the fencing as a function of the length of a side x.
The total cost of the fencing as a function of side is .
Step-by-step explanation:
Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side (), measured in feet. Therefore, the total cost of fencing is represented by the following formula:
Given that and , the total cost of the fencing as a function of side is: