## 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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4 months 2022-01-31T08:07:22+00:00 1 Answer 0 views 0

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

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 $$x$$ that represents the total amount that Melanie paid.

Solution:

Subtotal amount = $$x$$

Tax amount = 6% of  $$x$$

$$=\frac{6}{100} \timesx\\ \\ =0.06+x$$

Tip amount = 17% of $$x+0.06$$

$$=\frac{17}{100} \times(0.06+x)\\ \\ =0.17(0.06+x)\\ \\ =0.0102+0.17x\\ \\ =0.17x+0.0102$$

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

= $$=x+x+0.06+0.17x+0.0102\\ \\ =2.17x+0.0702$$

Therefore, Melanie paid \$2.17$$x$$ + 0.0702