Final answer:
The math question involves defining a function for the average cost per helmet sticker, factoring in a fixed design fee and a variable material cost per sticker. An accurate formulation of the average cost function is c(x) = (125 + 0.53x) / x, representing the total costs divided by the quantity of stickers made.
Step-by-step explanation:
The question pertains to creating a function that represents the average cost per helmet sticker given a base design fee and a per-unit material cost. To define the cost function, we start with the fixed design fee and add the per-unit material cost multiplied by the number of stickers, x. Therefore, the total cost is given by the sum of the fixed design fee and the variable cost (which depends on x). The function provided seems to be incorrect as it does not follow the usual format for a cost function. If the intention is to describe the average cost per sticker, the function should be:
c(x) = (125 + 0.53x) / x.
Here, 125 represents the fixed design fee, 0.53 is the cost of materials per sticker, and x is the number of stickers. To find the average cost, we divide the total cost by the number of stickers x.