Answer:
The total cost of the fencing as a function of side is [tex]C = 8\cdot x[/tex].
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 ([tex]x[/tex]), measured in feet. Therefore, the total cost of fencing is represented by the following formula:
[tex]C = (c_{west} + c_{south} + c_{east})\cdot x[/tex]
Given that [tex]c_{west} = c_{east} = 2\,\frac{\$}{ft}[/tex] and [tex]c_{south} = \$\,4\,\frac{\$}{ft}[/tex], the total cost of the fencing as a function of side is:
[tex]C = 8\cdot x[/tex]