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.

\begin{tabular}{|l|c|c|c|c|c|}
\cline {2-6}
\multicolumn{1}{c|}{} & Pickup & SUV & Coupe & Sedan & Total \\
\hline
Rupert & 18 & 15 & 19 & 16 & 68 \\
\hline
Lydia & 6 & 9 & 12 & 5 & 32 \\
\hline
Total & 24 & 24 & 31 & 21 & 100 \\
\hline
\end{tabular}

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

A. [tex]$27.94\%$[/tex]
B. [tex]$61.3\%$[/tex]
C. [tex]$38.71\%$[/tex]
D. [tex]$37.5\%$[/tex]



Answer :

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]