To determine how much the customer should be charged for 12 volleyballs, where 2 are slightly damaged and receive a discount, let's walk through the problem step by step:
1. Identify Prices and Quantities:
- Regular volleyball price: \[tex]$14 each
- Damaged volleyball discount: \$[/tex]1 each
- Number of volleyballs: 12 total
- Number of damaged volleyballs: 2
2. Calculate the Cost of Undamaged Volleyballs:
- Number of undamaged volleyballs: [tex]\(12 - 2 = 10\)[/tex]
- Cost of undamaged volleyballs (each [tex]$14): \(10 \times 14 = 140\)
3. Calculate the Cost of Damaged Volleyballs:
- Adjusted price for damaged volleyballs: \(14 - 1 = 13\)
- Cost of damaged volleyballs (each $[/tex]13): [tex]\(2 \times 13 = 26\)[/tex]
4. Total Cost Calculation:
- Add the costs of both undamaged and damaged volleyballs:
[tex]\[
140 + 26 = 166
\][/tex]
Thus, the total amount the customer should be charged, excluding tax, is \$166.
So, the correct choice is:
[tex]\[
\boxed{166}
\][/tex]
