To calculate the Total Paid for each present with the value \( d = 50 \), we need to apply the respective discounts and any additional costs specified.
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Power tools (d, 15% discount, +2):
- Cost: \( d = 50 \)
- Discount: 15% of \( 50 = 0.15 \times 50 = 7.50 \)
- Sale price after discount: \( 50 - 7.50 = 42.50 \)
- Total Paid: \( 42.50 + 2 = 44.50 \)
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Water skis (d + 15, 25% discount, +2):
- Cost: \( d + 15 = 50 + 15 = 65 \)
- Discount: 25% of \( 65 = 0.25 \times 65 = 16.25 \)
- Sale price after discount: \( 65 - 16.25 = 48.75 \)
- Total Paid: \( 48.75 + 2 = 50.75 \)
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Jewelry (d - 5, 10% discount, +2):
- Cost: \( d - 5 = 50 - 5 = 45 \)
- Discount: 10% of \( 45 = 0.10 \times 45 = 4.50 \)
- Sale price after discount: \( 45 - 4.50 = 40.50 \)
- Total Paid: \( 40.50 + 2 = 42.50 \)
Now we can summarize:
| Present | Total Paid ($) | |---------------|----------------| | Power tools | 44.50 | | Water skis | 50.75 | | Jewelry | 42.50 |
Cheapest Option: The most economical present is Jewelry, with a Total Paid of $42.50.