To calculate the total cost before tax, we need to find the discounted price of the controller and then add it to the price of the PS5.
- Cost of PS5: $499.99
- Normal price of controller: $74.99
- Discount on controller: 50% off
Calculating the discount:
\[ \text{Discounted price of controller} = \text{Normal price} \times (1 - \text{Discount}) \]
\[ \text{Discounted price of controller} = 74.99 \times (1 - 0.5) \] \[ = 74.99 \times 0.5 \] \[ = 37.495 \]
Now rounding this figure to the nearest hundredth:
\[ \text{Discounted price of controller} \approx 37.50 \]
Next, we will add the discounted price of the controller to the price of the PS5:
\[ \text{Total cost before tax} = \text{Cost of PS5} + \text{Discounted price of controller} \] \[ = 499.99 + 37.50 \] \[ = 537.49 \]
Therefore, the total before tax is $537.49.
Thus, the correct response is: $537.49.