Let's determine the total debt for the 9 tickets, factoring in the additional fee of \[tex]$15.
1. Calculate the total debt without the fee:
- The debt for one ticket is \(-\$[/tex]32\).
- For 9 tickets, the total debt would be:
[tex]\[
9 \times (-\$32) = -\$288
\][/tex]
Thus, the total debt without including the fee is [tex]\(-\$288\)[/tex].
2. Include the additional fee:
- The tour company adds a fee of \[tex]$15 to the entire order.
- Therefore, the total debt including the fee would be:
\[
-\$[/tex]288 + \[tex]$15 = -\$[/tex]273
\]
So, the total debt, considering the fee, is [tex]\( -\$273 \)[/tex].
Among the given options:
- [tex]\(-\$288\)[/tex]
- [tex]\(-\$273\)[/tex]
- [tex]\(-\$423\)[/tex]
- [tex]\(-\$303\)[/tex]
The correct answer is [tex]\(-\$273\)[/tex].