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

Answers ( )

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    2022-01-31T08:09:16+00:00

    Answer:

    $2.17[tex]x[/tex] + 0.0702

    Step-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

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