QUESTION 1

A food fair is going to be held at Zoo Lake. Chloe decides to set up a stall selling tortillas. It costs Chloe R5 to make a tortilla and R500 to rent the stall. She sells each tortilla for R15.

The table below shows the income that Chloe will make if she sells the tortillas:

\begin{tabular}{|l|c|c|c|c|c|c|}
\hline
Number of tortillas & 0 & 50 & 100 & 150 & 200 & 250 \\
\hline
Total income (R) & 0 & 750 & 1500 & 2250 & 3000 & 3750 \\
\hline
\end{tabular}

1.1.1 Write down a formula to represent Chloe's total expenses:

Total Expenses [tex]$=$[/tex] [tex]$\qquad$[/tex] (2)



Answer :

To represent Chloe's total expenses, we need to account for both the cost to make each tortilla and the fixed cost of renting the stall.

1. The cost to make each tortilla is R5.
2. The fixed cost to rent the stall is R500.

We can express the total expenses as a function of the number of tortillas made. Let [tex]\( n \)[/tex] be the number of tortillas. The cost to make [tex]\( n \)[/tex] tortillas is R5 per tortilla, giving us [tex]\( 5 \times n \)[/tex]. Adding the fixed rental cost of R500, the total expenses can be written as:

Total Expenses [tex]\( = 5n + 500 \)[/tex]

So, the formula to represent Chloe's total expenses is:
Total Expenses [tex]\( = 5n + 500 \)[/tex]