Question

The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band’s average cost per t-shirt after x t-shirts are sold is:

f(x) =
100 + 12x
x

Complete the following statements:

The vertical asymptote is x =
0
.

The horizontal asymptote is y =
12
.

The average cost to make a t-shirt approaches
$
as the number of t-shirts made increases.

Answer 1

$12

Explanation: f(x) = 100/x + 12, and as x → ∞ the term 100/x → 0, so the average cost approaches $12 per shirt.