Let's go through the problem step-by-step and derive the necessary tables and formulas.
### 1.1 Formula for Total Expenses
To find Chloe's total expenses, let's consider the two components of her expenses:
1. The fixed cost to rent the stall, which is R500.
2. The variable cost to make the tortillas, which is R5 per tortilla.
If [tex]\( T \)[/tex] represents the number of tortillas made and sold, then the variable cost is [tex]\( 5 \times T \)[/tex].
Thus, the total expenses, [tex]\( E \)[/tex], can be calculated using the following formula:
[tex]\[ \text{Total Expenses} = \text{Fixed Cost} + (\text{Cost per Tortilla} \times \text{Number of Tortillas}) \][/tex]
Putting in the given values:
[tex]\[ \text{Total Expenses} = 500 + 5 \times T \][/tex]
### 1.2 Table of Total Expenses
Now, using the above formula, we can calculate Chloe's expenses for selling [tex]\( 0, 50, 100, 150, 200, \)[/tex] and [tex]\( 250 \)[/tex] tortillas.
Here is the table:
| Number of Tortillas | Total Expenses (R) |
|---------------------|---------------------|
| 0 | 500 |
| 50 | 750 |
| 100 | 1000 |
| 150 | 1250 |
| 200 | 1500 |
| 250 | 1750 |
So, the step-by-step solution here shows that Chloe incurs varying levels of total expenses as her tortilla production increases, calculated using the formula [tex]\( 500 + 5 \times T \)[/tex].
