To calculate Jackson's total before tax, first, we need to find out the cost of the PS5 and the discounted price of the controller.
- Cost of the PS5: $499.99
- Original cost of the controller: $74.99
- Discount on the controller: 50%
Now, calculate the discounted price of the controller:
\[ \text{Discounted controller price} = \text{Original price} \times (1 - \text{discount}) \]
\[ \text{Discounted controller price} = 74.99 \times (1 - 0.5) = 74.99 \times 0.5 = 37.495 \]
Now, we can calculate the total cost:
\[ \text{Total cost} = \text{Cost of PS5} + \text{Discounted controller price} \]
\[ \text{Total cost} = 499.99 + 37.495 = 537.485 \]
Finally, we round the total to the nearest hundredth:
\[ \text{Total before tax} = 537.49 \]
So, Jackson's total before tax will be $537.49.