To determine the total cost of the catering service, given that the caterer charges [tex]$12 per person plus a setup fee of $[/tex]5, we can create a table that shows the number of persons and their corresponding total cost.
The total cost, [tex]\(c\)[/tex], can be determined using the formula:
[tex]\[ c = 12p + 5 \][/tex]
where [tex]\( p \)[/tex] is the number of persons.
To make it clear, Hector could use the following headings for the table:
[tex]\[
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{\textbf{Catering Cost}} \\
\hline \textbf{Number of Persons (Column A)} & \textbf{Total Cost (Column B)} \\
\hline 1 & 17 \\
\hline 2 & 29 \\
\hline 3 & 41 \\
\hline & \\
\hline & \\
\hline
\end{tabular}
\][/tex]
Let's step through the calculations for each entry of Column B (Total Cost).
For [tex]\( p = 1 \)[/tex]:
[tex]\[ c = 12(1) + 5 = 12 + 5 = 17 \][/tex]
For [tex]\( p = 2 \)[/tex]:
[tex]\[ c = 12(2) + 5 = 24 + 5 = 29 \][/tex]
For [tex]\( p = 3 \)[/tex]:
[tex]\[ c = 12(3) + 5 = 36 + 5 = 41 \][/tex]
Therefore, the correct heading Hector should use in Column B to create the table is: Total Cost.
