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Montraie goes to a restaurant and the subtotal on the bill was
x dollars. A tax of
7% is applied to the bill. Montraie decides to leave a tip of
21% on the entire bill (including the tax). Write an expression in terms of
x that represents the total amount that Montraie paid.
Answer:

Montraie goes to a restaurant and the subtotal on the bill was $x$ dollars. A tax of $7 \%$ is applied to the bill. Montraie decides to leave a tip of $21 \%$ on the entire bill (including the tax). Write an expression in terms of $x$ that represents the total amount that Montraie paid. $\newline$ Answer:

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Write linear functions: word problems

Full solution

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

x

dollars. A tax of

7 \%

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

21 \%

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

x

that represents the total amount that Montraie paid.

\newline

Answer:

Calculate tax amount: Calculate the tax amount. $\newline$ The tax is $7\%$ of the subtotal, which is $0.07$ times the subtotal $x$ . $\newline$ Tax amount = $0.07 \times x$
Calculate total after tax: Calculate the total after tax. $\newline$ The total after tax is the subtotal plus the tax amount. $\newline$ Total after tax = $x + (0.07 \times x)$
Calculate tip amount: Calculate the tip amount. $\newline$ Montraie leaves a tip of $21\%$ on the entire bill after tax. The tip is $0.21$ times the total after tax. $\newline$ Tip amount = $0.21 \times (x + (0.07 \times x))$
Calculate total amount paid: Calculate the total amount paid. $\newline$ The total amount paid is the total after tax plus the tip amount. $\newline$ Total amount paid = $(x + (0.07 \times x)) + (0.21 \times (x + (0.07 \times x)))$
Simplify expression: Simplify the expression. $\newline$ Combine like terms to simplify the expression for the total amount paid. $\newline$ Total amount paid = $x + 0.07x + 0.21x + (0.21 \times 0.07x)$ $\newline$ Total amount paid = $x(1 + 0.07 + 0.21 + (0.21 \times 0.07))$
Further simplify expression: Further simplify the expression. $\newline$ Calculate the numerical values and combine them. $\newline$ Total amount paid = $x(1 + 0.07 + 0.21 + 0.0147)$ $\newline$ Total amount paid = $x(1.2847)$

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