To analyze the expression \( 1.11(0.95p) \) that represents the total amount Marques paid for a jacket originally priced at \( p \) dollars, let's break it down.
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The expression \( 0.95p \) indicates that Marques received a discount. Specifically, applying a factor of \( 0.95 \) means that the price was reduced by \( 5% \) (which is 100% - 95%).
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After applying this discount, Marques ended up with \( 0.95p \) as the new price.
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The expression then multiplies this discounted price by \( 1.11 \). This factor indicates that a sales tax was applied to the discounted price. A multiplier of \( 1.11 \) means an additional \( 11% \) in sales tax was added (which is 100% + 11%).
So, to summarize:
- Marques received a discount of \( 5% \) on the original price \( p \), resulting in \( 0.95p \).
- Then, he paid \( 11% \) sales tax on that discounted price.
Now let's evaluate the multiple-choice options based on this analysis:
- A: Discount of 0.05% and then 111% sales tax - Incorrect
- B: Sales tax of 11% and then a discount of 5% - Incorrect (the order is reversed)
- C: Sales tax of 0.11% and then a discount of 0.95% - Incorrect (mischaracterizes the tax and discount)
- D: Sales tax of 111% and then a discount of 95% - Incorrect (mischaracterizes the tax and discount)
None of the provided answer choices accurately match the described changes to the original price. The actual changes we derived are a discount of 5% followed by a sales tax of 11%. Thus, the correct answer is not listed among the options.