To determine what percentage of the sales of coupes were negotiated by Lydia, we'll follow these steps:
1. Identify the number of coupes sold by Lydia: According to the table, Lydia sold 12 coupes.
2. Determine the total number of coupes sold: The total number of coupes sold, as shown in the table, is 31.
3. Calculate the percentage of coupes sold by Lydia: The formula for calculating the percentage is:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of coupes sold by Lydia}}{\text{Total number of coupes sold}}\right) \times 100
\][/tex]
Substituting the known values:
[tex]\[
\text{Percentage} = \left(\frac{12}{31}\right) \times 100 \approx 38.70967741935484
\][/tex]
4. Round the percentage to two decimal places:
[tex]\[
38.70967741935484 \approx 38.71 \%
\][/tex]
Thus, the percentage of sales of coupes negotiated by Lydia is approximately 38.71%. Hence, the correct answer is:
C. [tex]$38.71 \%$[/tex]