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Hector hires a caterer who charges [tex]$\$[/tex] 12[tex]$ per person plus a set-up fee of $[/tex]\[tex]$ 75$[/tex]. He uses the equation [tex]$12p + 75 = c$[/tex] 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. Total Cost



Answer :

GinnyAnswer
Let's determine what the appropriate heading for Column B should be by examining the context provided in the question and the given equation [tex]\( 12p + 75 = c \)[/tex].

1. Understanding the Equation:
In the equation [tex]\( 12p + 75 = c \)[/tex]:
- [tex]\( p \)[/tex] represents the number of persons.
- [tex]\( c \)[/tex] represents the total cost.

2. Interpretation of Columns:
Based on the equation and the context:
- Column A lists different values for [tex]\( p \)[/tex] (the number of persons).
- Column B should list the corresponding values for [tex]\( c \)[/tex] (the total cost for catering to those persons).

Therefore, Hector should choose a heading for Column B that reflects the total cost calculated using the equation. The heading that describes this correctly is Total Cost. Hence, the heading Hector should use in Column B is:

Total Cost