Answer :
### Solution
1.1.1 Write down a formula to represent Chloe's total expenses:
To find Chloe's total expenses, you need to account for the cost of making the tortillas and the cost of renting the stall.
- The cost to make each tortilla is R5.
- The stall rent is R500.
- Let [tex]\( n \)[/tex] represent the number of tortillas sold.
The formula for total expenses (E) can be expressed as:
[tex]\[ \text{Total Expenses} = \text{(cost per tortilla} \times \text{number of tortillas)} + \text{stall rent} \][/tex]
[tex]\[ E = (5 \times n) + 500 \][/tex]
So, the formula for Chloe's total expenses is:
[tex]\[ \boxed{E = 5n + 500} \][/tex]
1.1.2 Draw up a table to represent Chloe's expenses if she sells 0, 50, 100, 150, 200, and 250 tortillas:
Now we calculate the total expenses for each given number of tortillas sold using the formula [tex]\(E = 5n + 500\)[/tex].
1. For 0 tortillas:
[tex]\[ E = 5 \times 0 + 500 = 500 \][/tex]
Total Expenses: R500
2. For 50 tortillas:
[tex]\[ E = 5 \times 50 + 500 = 250 + 500 = 750 \][/tex]
Total Expenses: R750
3. For 100 tortillas:
[tex]\[ E = 5 \times 100 + 500 = 500 + 500 = 1000 \][/tex]
Total Expenses: R1000
4. For 150 tortillas:
[tex]\[ E = 5 \times 150 + 500 = 750 + 500 = 1250 \][/tex]
Total Expenses: R1250
5. For 200 tortillas:
[tex]\[ E = 5 \times 200 + 500 = 1000 + 500 = 1500 \][/tex]
Total Expenses: R1500
6. For 250 tortillas:
[tex]\[ E = 5 \times 250 + 500 = 1250 + 500 = 1750 \][/tex]
Total Expenses: R1750
Let's summarize these results in a table:
[tex]\[ \begin{array}{|c|c|} \hline \text{Number of tortillas} & \text{Total Expenses (R)} \\ \hline 0 & 500 \\ \hline 50 & 750 \\ \hline 100 & 1000 \\ \hline 150 & 1250 \\ \hline 200 & 1500 \\ \hline 250 & 1750 \\ \hline \end{array} \][/tex]
Thus, Chloe's total expenses for selling varying numbers of tortillas are provided in the table above.
1.1.1 Write down a formula to represent Chloe's total expenses:
To find Chloe's total expenses, you need to account for the cost of making the tortillas and the cost of renting the stall.
- The cost to make each tortilla is R5.
- The stall rent is R500.
- Let [tex]\( n \)[/tex] represent the number of tortillas sold.
The formula for total expenses (E) can be expressed as:
[tex]\[ \text{Total Expenses} = \text{(cost per tortilla} \times \text{number of tortillas)} + \text{stall rent} \][/tex]
[tex]\[ E = (5 \times n) + 500 \][/tex]
So, the formula for Chloe's total expenses is:
[tex]\[ \boxed{E = 5n + 500} \][/tex]
1.1.2 Draw up a table to represent Chloe's expenses if she sells 0, 50, 100, 150, 200, and 250 tortillas:
Now we calculate the total expenses for each given number of tortillas sold using the formula [tex]\(E = 5n + 500\)[/tex].
1. For 0 tortillas:
[tex]\[ E = 5 \times 0 + 500 = 500 \][/tex]
Total Expenses: R500
2. For 50 tortillas:
[tex]\[ E = 5 \times 50 + 500 = 250 + 500 = 750 \][/tex]
Total Expenses: R750
3. For 100 tortillas:
[tex]\[ E = 5 \times 100 + 500 = 500 + 500 = 1000 \][/tex]
Total Expenses: R1000
4. For 150 tortillas:
[tex]\[ E = 5 \times 150 + 500 = 750 + 500 = 1250 \][/tex]
Total Expenses: R1250
5. For 200 tortillas:
[tex]\[ E = 5 \times 200 + 500 = 1000 + 500 = 1500 \][/tex]
Total Expenses: R1500
6. For 250 tortillas:
[tex]\[ E = 5 \times 250 + 500 = 1250 + 500 = 1750 \][/tex]
Total Expenses: R1750
Let's summarize these results in a table:
[tex]\[ \begin{array}{|c|c|} \hline \text{Number of tortillas} & \text{Total Expenses (R)} \\ \hline 0 & 500 \\ \hline 50 & 750 \\ \hline 100 & 1000 \\ \hline 150 & 1250 \\ \hline 200 & 1500 \\ \hline 250 & 1750 \\ \hline \end{array} \][/tex]
Thus, Chloe's total expenses for selling varying numbers of tortillas are provided in the table above.