Aria goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill. Aria decides to leave a tip of 19% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Aria paid.Answer:
Q. Aria goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill. Aria decides to leave a tip of 19% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Aria paid.Answer:
Calculate Tax Amount: First, calculate the tax on the subtotal of the bill.Tax rate = 5%Tax amount = x×0.05
Calculate Total Before Tip: Add the tax to the subtotal to get the total bill amount before the tip.Total before tip = x+(x×0.05)Total before tip = x×(1+0.05)Total before tip = x×1.05
Calculate Tip Amount: Now, calculate the tip Aria decides to leave, which is 19% of the total bill amount including tax.Tip rate = 19%Tip amount = (x×1.05)×0.19
Calculate Final Amount Paid: Add the tip to the total bill amount before the tip to get the final amount Aria paid.Total amount paid = x∗1.05 + \(x * 1.05 * 0.19\)Total amount paid = x∗1.05∗$1+0.19\)Total amount paid = x∗1.05∗1.19
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