Bot GPT 4-o mini a. To find the total amount Winona and Takoda would pay for the power tools after the discount, we first need to apply the 15% discount to the cost of the power tools. The original cost is \(d\).
The discount amount is: \[ 0.15 \times d = 0.15d \]
The amount they would pay after the discount is: \[ d - 0.15d = 0.85d \]
So, the total amount they would pay for the power tools is: \[ 0.85d \]
b. The expression \(0.90(d - 5)\) refers to the total amount paid for the jewelry after applying a 10% discount to the original price of the jewelry, which costs \(d - 5\).
To explain:
- The expression \(d - 5\) represents the original cost of the jewelry.
- Since a 10% discount is applied, the customer pays 90% of the original price. Therefore, the calculation becomes \(0.90(d - 5)\).
The expression can also be rewritten as: \[ 0.90(d - 5) = 0.90d - 4.5 \]
c. Let's choose a value for \(d\) in the given range. For example, let's take \(d = 50\).
Now we can calculate the total cost of each present using this value:
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Power tools: \[ \text{Cost} = 0.85d = 0.85 \times 50 = 42.50 \]
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Water skis: \[ \text{Cost} = (d + 15) \times (1 - 0.25) = (50 + 15) \times 0.75 = 65 \times 0.75 = 48.75 \]
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Jewelry: \[ \text{Cost} = 0.90(d - 5) = 0.90 \times (50 - 5) = 0.90 \times 45 = 40.50 \]
Summary of costs:
- Power tools: $42.50
- Water skis: $48.75
- Jewelry: $40.50
Based on the calculations, Winona and Takoda should consider buying the jewelry, as it has the lowest price at $40.50 after applying the discount. Additionally, the power tools are only slightly more expensive at $42.50, which still makes them a good option if they prefer a more practical gift. However, if they want to stay within a tighter budget, the jewelry offers the best value.
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