Question

a multi-part item.
which rational function models the average cost per skirt, y, in dollars,
for making a total of x skirts?

$y = \frac{250 + 15x}{x}$

$y = \frac{x}{250 + 15x}$

$y = \frac{250}{x} + 15x$

$y = \frac{250}{15x}$

Explanation:

Step1: Understand Cost Components

Let's assume there's a fixed cost (like setup cost) of $250$ and a variable cost of $15$ per skirt. For $x$ skirts, total variable cost is $15x$, so total cost is $250 + 15x$.

Step2: Calculate Average Cost

Average cost per skirt ($y$) is total cost divided by number of skirts ($x$). So $y=\frac{\text{Total Cost}}{x}=\frac{250 + 15x}{x}$.

Answer:

$y = \frac{250+15x}{x}$ (the first option)