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.

Answer 1

Answer:

$2.17$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).

Question asked:

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