## Melanie goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 6% is applied to the bill. Melanie decided to leave a tip

Question

Melanie goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 6% is applied to the bill. Melanie decided to leave a tip of 17% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Melanie paid.

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2022-01-31T08:07:22+00:00
2022-01-31T08:07:22+00:00 1 Answer
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## Answers ( )

Answer:$2.17[tex]x[/tex]+ 0.0702Step-by-step explanation:Given:Melanie goes to a restaurant and the subtotal on the bill was $[tex]x[/tex]

A tax of 6% is applied to the bill.

Melanie decided to leave a tip of 17% on the entire bill (including the tax).

Question asked:

Write an expression in terms of [tex]x[/tex] that represents the total amount that Melanie paid.

Solution:Subtotal amount = [tex]x[/tex]

Tax amount = 6% of [tex]x[/tex]

[tex]=\frac{6}{100} \timesx\\ \\ =0.06+x[/tex]

Tip amount = 17% of [tex]x+0.06[/tex]

[tex]=\frac{17}{100} \times(0.06+x)\\ \\ =0.17(0.06+x)\\ \\ =0.0102+0.17x\\ \\ =0.17x+0.0102[/tex]

Total amount paid = Subtotal amount + Tax amount + Tip amount

= [tex]=x+x+0.06+0.17x+0.0102\\ \\ =2.17x+0.0702[/tex]

Therefore, Melanie paid $2.17[tex]x[/tex]+ 0.0702