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\begin{tabular}{|l}
[tex]$\left\lvert\,$[/tex]\begin{tabular}{l}
Qaqamba S.S.S is preparing to have a Matric Dance in September 2023. Their teacher went around to get some quotations from different places. He ended up considering the two quotations shown below: \\
Venue A: R2 000 plus R500 per person \\
Venue B: R600 per person
\end{tabular}\right. \\
\begin{tabular}{|l|l|l|l|l|l|l|}
Table 1
\end{tabular} \\
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline No of people & 0 & 10 & 20 & 30 & 40 & 50 \\
\hline \begin{tabular}{l}
Cost of Venue \\
A in [tex]$R$[/tex]
\end{tabular} & [tex]$A$[/tex] & 7000 & 12000 & 17000 & 22000 & [tex]$C$[/tex] \\
\hline \begin{tabular}{l}
Cost of Venue \\
B in [tex]$R$[/tex]
\end{tabular} & 0 & 6000 & [tex]$B$[/tex] & 18000 & 24000 & 30000 \\
\hline
\end{tabular} \\
Study the Table above and answer the questions that follow. \\
\hline
\end{tabular}

Write down the formulae to be used to calculate the costs of each venue.



Answer :

GinnyAnswer
To determine the costs for each venue, let's define the formulas for both Venue A and Venue B based on the information provided:

### Venue A
For Venue A, the cost consists of a fixed cost plus a variable cost per person. The fixed cost is R2,000, and the variable cost is R500 per person.

So, the formula to calculate the cost for Venue A, given [tex]\( n \)[/tex] people, is:
[tex]\[ \text{Cost of Venue A for } n \text{ people} = 2000 + 500n \][/tex]

### Venue B
For Venue B, there is no fixed cost; the entire cost is variable, based on R600 per person.

So, the formula to calculate the cost for Venue B, given [tex]\( n \)[/tex] people, is:
[tex]\[ \text{Cost of Venue B for } n \text{ people} = 600n \][/tex]

These formulas can be used to compute the costs for different numbers of attendees at each venue.

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