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

$2.17
`x` + 0.0702

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`

`=(6)/(100) *x\\ \\ =0.06+x`

Tip amount = 17% of
`x+0.06`

`=(17)/(100) *(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