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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.

Saturday's To-Go Deli Orders

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



Answer :

GinnyAnswer
To determine what percent of the to-go orders were delivery orders placed by phone from the given two-way frequency table, follow these steps:

1. Identify the total number of to-go orders:
- According to the table, the total number of orders is 191.

2. Identify the number of delivery orders placed by phone:
- Based on the table, the number of delivery orders placed by phone is 28.

3. Calculate the percent of delivery orders placed by phone:
- Use the formula:

[tex]\[ \text{percent\_delivery\_by\_phone} = \left(\frac{\text{delivery\_by\_phone}}{\text{total\_orders}}\right) \times 100 \][/tex]
- Plug in the identified values:

[tex]\[ \text{percent\_delivery\_by\_phone} = \left(\frac{28}{191}\right) \times 100 \][/tex]

- Calculating this gives:

[tex]\[ \text{percent\_delivery\_by\_phone} \approx 14.659685863874344 \][/tex]

4. Round the result to two decimal places:
- The result rounded to two decimal places is approximately 14.66.

Therefore, the correct answer is [tex]\( B. 14.66 \% \)[/tex].

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