To determine how many times the toaster oven must break for the warranty to pay for itself, we first need to calculate the cost of the warranty.
The warranty costs 25% of the toaster oven price:
- Cost of the toaster oven = $130
- Warranty cost = 25% of $130 = 0.25 × $130 = $32.50
Next, we'll compare the warranty cost to the repair cost:
- Repair cost per break = $8
Now, we'll set up the equation to find out how many times (let's denote this as \( n \)) the toaster oven needs to break for the warranty to be worthwhile:
\[ n \times \text{Repair cost} = \text{Warranty cost} \]
Substituting the values into the equation gives us:
\[ n \times 8 = 32.50 \]
Now, solving for \( n \):
\[ n = \frac{32.50}{8} = 4.0625 \]
Since \( n \) must be a whole number, we round up to the nearest whole number, which is 5.
Thus, the toaster oven must break 5 times for the warranty to pay for itself.
The best answer from the choices provided is:
A: five