To calculate how much Winona and Takoda would pay for the power tools, we first need to apply the discount to the original cost, which is represented as \(d\).
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Expression for the price after the discount of 15%: The formula to calculate the price after applying a discount is: \[ \text{Price after discount} = \text{Original cost} - (\text{Original cost} \times \text{Discount rate}) \] In this case, the discount rate is 15%, or 0.15 in decimal form. Thus, the expression would be: \[ \text{Price after discount} = d - (d \times 0.15) = d - 0.15d = 0.85d \]
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Expression for the total paid after adding the additional cost (+2): To find the total paid after this discount, we simply add the additional cost of 2 dollars: \[ \text{Total paid} = \text{Price after discount} + 2 \] Substituting the price after the discount we calculated earlier: \[ \text{Total paid} = 0.85d + 2 \]
So the two expressions in terms of \(d\) are:
- \(0.85d\) (the price after the discount)
- \(0.85d + 2\) (the total amount paid).