Question

Winona and Takoda are shopping for a present for their mother.
The chart shows several possible presents. There is no sales tax in the state where they live.

Present Cost ($) Discount (%) Total Paid
Power tools d 15% (+2)
Water skis d + 15 25% (+2)
Jewelry d – 5 10% (+2)

c. Use the value d=$50. Calculate the Total Paid (+6pts see above) Column of each of the possible presents for the value of $50. Then star or circle the most economical or cheapest.

Answer 1

To calculate the Total Paid for each present when \( d = 50 \), we need to follow these steps:

1. Calculate the cost after applying the discount.
2. Add the additional $2 to the discounted price for the Total Paid.

Let's calculate each present step by step:

### 1. Power Tools
- **Cost:** \( d = 50 \)
- **Discount:** 15%
- **Discount amount:** \( 15\% \text{ of } 50 = 0.15 \times 50 = 7.5 \)
- **Price after discount:** \( 50 - 7.5 = 42.5 \)
- **Total Paid:** \( 42.5 + 2 = 44.5 \)

### 2. Water Skis
- **Cost:** \( d + 15 = 50 + 15 = 65 \)
- **Discount:** 25%
- **Discount amount:** \( 25\% \text{ of } 65 = 0.25 \times 65 = 16.25 \)
- **Price after discount:** \( 65 - 16.25 = 48.75 \)
- **Total Paid:** \( 48.75 + 2 = 50.75 \)

### 3. Jewelry
- **Cost:** \( d - 5 = 50 - 5 = 45 \)
- **Discount:** 10%
- **Discount amount:** \( 10\% \text{ of } 45 = 0.10 \times 45 = 4.5 \)
- **Price after discount:** \( 45 - 4.5 = 40.5 \)
- **Total Paid:** \( 40.5 + 2 = 42.5 \)

### Summary of Total Paid for Each Present
- **Power Tools:** $44.50
- **Water Skis:** $50.75
- **Jewelry:** $42.50

### Conclusion
The Total Paid for Jewelry is the cheapest option at $42.50. You can circle or star it to indicate that it is the most economical choice.