To determine the percentage of people who prefer pizza, we need to analyze the data provided in the survey table.
Here is the relative frequency table once more for clarity:
[tex]\[
\begin{array}{|c|l|l|c|}
\hline
& \text{Hamburgers} & \text{Pizza} & \text{Total} \\
\hline
\text{Adults} & 0.24 & 0.36 & \\
\hline
\text{Children} & 0.11 & 0.29 & \\
\hline
\text{Total} & & & \\
\hline
\end{array}
\][/tex]
1. Identify Relative Frequencies for Pizza:
- Adults who prefer pizza: [tex]\(0.36\)[/tex]
- Children who prefer pizza: [tex]\(0.29\)[/tex]
2. Calculate the Total Relative Frequency for Pizza:
[tex]\[
\text{Total Relative Frequency for Pizza} = 0.36 (\text{adults}) + 0.29 (\text{children})
\][/tex]
3. Calculate this value step-by-step:
[tex]\[
0.36 + 0.29 = 0.65
\][/tex]
4. Convert the Relative Frequency to a Percentage:
- To convert a relative frequency to a percentage, multiply by 100.
[tex]\[
\text{Percentage of People Who Prefer Pizza} = 0.65 \times 100 = 65\%
\][/tex]
5. Final Answer:
Based on the calculated value, the percentage of people surveyed who prefer pizza is [tex]\(65\%\)[/tex].
The correct answer is:
[tex]\[
\boxed{65\%}
\][/tex]
