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Hector hires a caterer who charges [tex]$\$12$[/tex] per person plus a setup fee of [tex]$\[tex]$5$[/tex][/tex]. He uses the equation to determine the total cost, [tex]$c$[/tex], where [tex]$p$[/tex] is the number of persons. Hector wants to set up a table like the one below to help determine costs.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Catering Cost} \\
\hline Column A & Column B \\
\hline 1 & \\
\hline 2 & \\
\hline 3 & \\
\hline & \\
\hline & \\
\hline
\end{tabular}

Which heading should Hector use in Column B to create the table?

A. Number of Persons
B. Per Person Cost
C. Total Cost
D. Set-Up Fee



Answer :

GinnyAnswer
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.

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