Let's work through the steps to determine the total amount for the restaurant order, considering both tax and gratuity.
1. Calculate the subtotal:
- 1 appetizer at \[tex]$8.99
- 2 entrees at \$[/tex]14.99 each
- 1 entree at \[tex]$12.99
- 3 drinks at \$[/tex]1.99 each
Subtotal calculation:
[tex]\[
\text{Subtotal} = (1 \times 8.99) + (2 \times 14.99) + (1 \times 12.99) + (3 \times 1.99)
\][/tex]
Breaking it down:
[tex]\[
\text{Subtotal} = 8.99 + (2 \times 14.99) + 12.99 + (3 \times 1.99)
\][/tex]
[tex]\[
= 8.99 + 29.98 + 12.99 + 5.97
\][/tex]
[tex]\[
= 57.93
\][/tex]
2. Calculate the tax:
- Tax rate is [tex]\(7.5\%\)[/tex]
[tex]\[
\text{Tax} = 57.93 \times 0.075 = 4.34
\][/tex]
3. Calculate the gratuity:
- Gratuity rate is [tex]\(15\%\)[/tex]
[tex]\[
\text{Gratuity} = 57.93 \times 0.15 = 8.69
\][/tex]
4. Calculate the total amount:
[tex]\[
\text{Total Amount} = \text{Subtotal} + \text{Tax} + \text{Gratuity}
\][/tex]
[tex]\[
\text{Total Amount} = 57.93 + 4.34 + 8.69 = 70.96
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{70.96}
\][/tex]
Among the given options:
a. \[tex]$70.96
b. \$[/tex]71.62
c. \[tex]$75.31
d. \$[/tex]75.97
The best answer is option (a) \$70.96.
