Select the correct answer.

The two-way relative frequency table shows last year's sales of different car types at a dealership negotiated by two salespersons, Rupert and Lydia.

| | Pickup | SUV | Coupe | Sedan | Total |
|----------|--------|-----|-------|-------|-------|
| Rupert | 18 | 15 | 19 | 16 | 68 |
| Lydia | 6 | 9 | 12 | 5 | 32 |
| Total | 24 | 24 | 31 | 21 | 100 |

What percentage of the sales of coupes were negotiated by Lydia?

A. 27.94%
B. 38.71%
C. 37.5%
D. 61.3%



Answer :

To determine the percentage of coupe sales that were negotiated by Lydia, follow these steps:

1. Identify the total number of coupe sales from the table:
- The total sales of coupes are given under the "Coupe" column in the "Total" row, which is 31.

2. Identify the number of coupe sales negotiated by Lydia:
- The number of coupe sales made by Lydia is given under the "Coupe" column in Lydia's row, which is 12.

3. Calculate the percentage of the total coupe sales that were negotiated by Lydia:
- Use the formula for percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of Lydia's coupe sales}}{\text{Total coupe sales}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{12}{31} \right) \times 100 \approx 38.71\% \][/tex]

Thus, Lydia negotiated approximately 38.71% of the total coupe sales.

Therefore, the correct answer is:
B. [tex]\( 38.71\% \)[/tex]