Respuesta :
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
