To find the tax rate, you can use the formula:
\[ \text{Tax Rate} = \frac{\text{Taxes Paid}}{\text{Total Income}} \times 100 \]
Substituting in the Smith family's values:
\[ \text{Tax Rate} = \frac{12,450}{83,000} \times 100 \]
Calculating that:
\[ \text{Tax Rate} = 0.1506 \times 100 \approx 15.06% \]
So the tax rate is approximately 15%.
The closest option from your list is 15%.