Aaron goes to a restaurant and the subtotal on the bill was $x$ dollars. A tax of $7 \%$ is applied to the bill. Aaron decides to leave a tip of $17 \%$ on the entire bill (including the tax). Write an expression in terms of $x$ that represents the total amount that Aaron paid. $\newline$ Answer:

Full solution

Q. Aaron goes to a restaurant and the subtotal on the bill was

x

dollars. A tax of

7 \%

is applied to the bill. Aaron decides to leave a tip of

17 \%

on the entire bill (including the tax). Write an expression in terms of

x

that represents the total amount that Aaron paid.

\newline

Answer:

Calculate Tax: First, calculate the tax on the subtotal of the bill. $\newline$ Tax = Subtotal * Tax rate $\newline$ Tax = $x * 7\%$ $\newline$ Tax = $x * 0.07$
Calculate Total Before Tip: Next, add the tax to the subtotal to get the total bill amount before the tip. $\newline$ Total before tip = Subtotal + Tax $\newline$ Total before tip = $x + x \times 0.07$ $\newline$ Total before tip = $x \times (1 + 0.07)$ $\newline$ Total before tip = $x \times 1.07$
Calculate Tip: Now, calculate the tip based on the total bill amount including tax. $\newline$ Tip $= \text{Total before tip} \times \text{Tip rate}$ $\newline$ Tip $= x \times 1.07 \times 17\%$ $\newline$ Tip $= x \times 1.07 \times 0.17$
Calculate Total Amount Paid: Finally, add the tip to the total before tip to find the total amount paid. $\newline$ Total amount paid = Total before tip + Tip $\newline$ Total amount paid = $x \times 1.07 + x \times 1.07 \times 0.17$ $\newline$ Total amount paid = $x \times 1.07 \times (1 + 0.17)$ $\newline$ Total amount paid = $x \times 1.07 \times 1.17$