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The expression 1.13(0.55 p) represents the amount Chee paid for dinner at a restaurant after she applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression? 0.13% tip and then a discount of 0.45% A discount of 0.45% and then 13% tip 13% tip and then a discount of 45% A discount of 55% and then 13% tip

The expression 1.13(0.55p) 1.13(0.55 p) represents the amount Chee paid for dinner at a restaurant after she applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?\newline0.13% 0.13 \% tip and then a discount of 0.45% 0.45 \% \newlineA discount of 0.45% 0.45 \% and then 13% 13 \% tip\newline13% 13 \% tip and then a discount of 45% 45 \% \newlineA discount of 55% 55 \% and then 13% 13 \% tip

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Q. The expression 1.13(0.55p) 1.13(0.55 p) represents the amount Chee paid for dinner at a restaurant after she applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?\newline0.13% 0.13 \% tip and then a discount of 0.45% 0.45 \% \newlineA discount of 0.45% 0.45 \% and then 13% 13 \% tip\newline13% 13 \% tip and then a discount of 45% 45 \% \newlineA discount of 55% 55 \% and then 13% 13 \% tip
  1. Analyze Expression: Let's analyze the expression 1.13(0.55p)1.13(0.55p) to understand what it represents. The expression can be broken down into two parts: 0.55p0.55p and 1.131.13. The 0.55p0.55p part represents the price after applying a discount, and the 1.131.13 represents the final amount after adding a tip to the discounted price.
  2. Calculate Discount Percentage: To determine the percentage discount, we look at the factor multiplied by pp, which is 0.550.55. This means that the original price pp is being multiplied by 0.550.55, indicating a 55%55\% of the original price is kept, or equivalently, a 45%45\% discount is applied (100%−55%=45%100\% - 55\% = 45\%).
  3. Apply Tip Percentage: Next, we consider the factor 1.131.13. This factor is applied to the discounted price, which means a 13%13\% tip is added to the price after the discount. To add a 13%13\% tip, you multiply the discounted price by 1+131001 + \frac{13}{100}, which equals 1.131.13.
  4. Consider Order of Operations: Now, let's consider the order of operations. Since the tip percentage (1.131.13) is applied to the result of the discounted price (0.55p0.55p), this means the discount is applied first, followed by the tip.
  5. Sequence of Operations: Therefore, the correct sequence that resulted in the expression 1.13(0.55p)1.13(0.55p) is: a discount of 55%55\% was applied to the original price, and then a 13%13\% tip was added to the discounted price.

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