Select the correct answer.

A deli owner keeps track of the to-go orders each day. The results from last Saturday are shown in the given two-way frequency table.

\begin{tabular}{|c|c|c|c|c|}
\cline { 2 - 5 }
\multicolumn{1}{c|}{} & In Person & By Phone & Online & Total \\
\hline
Pick Up & 38 & 25 & 31 & 94 \\
\hline
Delivery & 35 & 28 & 34 & 97 \\
\hline
Total & 73 & 53 & 65 & 191 \\
\hline
\end{tabular}

What percent of the to-go orders were delivery orders placed by phone?

A. [tex]$38.41 \%$[/tex]
B. [tex]$52.83 \%$[/tex]
C. [tex]$14.66 \%$[/tex]
D. [tex]$28.87 \%$[/tex]



Answer :

To solve the problem of finding what percent of the total to-go orders were delivery orders placed by phone, follow these steps:

1. Identify the total number of to-go orders:
The table shows that the total number of to-go orders for Saturday is [tex]\(191\)[/tex].

2. Identify the number of delivery orders placed by phone:
According to the table, there were [tex]\(28\)[/tex] delivery orders placed by phone.

3. Calculate the percentage:
To find the percentage, we use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of Delivery Orders by Phone}}{\text{Total Number of Orders}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Percentage} = \left( \frac{28}{191} \right) \times 100 \][/tex]

4. Perform the division and multiplication:
[tex]\[ \frac{28}{191} \approx 0.14659685863874344 \][/tex]
Multiplying by 100 to get the percentage:
[tex]\[ 0.14659685863874344 \times 100 \approx 14.66 \% \][/tex]

Therefore, the percentage of the to-go orders that were delivery orders placed by phone is approximately [tex]\(14.66\%\)[/tex].

The correct answer is:
C. [tex]\(14.66\%\)[/tex]