To determine the total cost [tex]\( C \)[/tex] for an order of 40 copies, we use the given cost function:
[tex]\[
C(x) = 0.25x + 12.25
\][/tex]
Here, [tex]\( x \)[/tex] represents the number of copies, and we are given [tex]\( x = 40 \)[/tex].
We substitute [tex]\( x = 40 \)[/tex] into the cost function:
[tex]\[
C(40) = 0.25 \times 40 + 12.25
\][/tex]
Now, we calculate each part:
1. First, compute the cost for the copies:
[tex]\[
0.25 \times 40 = 10.00
\][/tex]
2. Then, add the set-up fee:
[tex]\[
10.00 + 12.25 = 22.25
\][/tex]
Thus, the total cost for an order of 40 copies is:
[tex]\[
\boxed{22.25}
\][/tex]
