87. A menu in a restaurant states that a gratuity of 18% is added to the bill for groups of 8 or more. If the bill for 10 people is $415, which of the following is closest to the total bill, including the gratuity?
Answer: D
The total bill, including the gratuity, is closest to $490.
To calculate the total bill including the gratuity, first determine the gratuity amount by multiplying the bill of $415 by 18%. This results in a gratuity of $74.70, making the total bill approximately $489.70, which rounds to $490.
A) $433
This option is incorrect as it underestimates the total bill significantly. The calculation of the gratuity (18% of $415) alone results in a gratuity of $74.70, leading to a total bill much higher than $433.
B) $448
Option B is also incorrect because it does not accurately reflect the calculated total. Adding 18% gratuity to the original bill of $415 yields a total of approximately $489.70, which is greater than $448.
C) $476
This choice is incorrect as well. Although $476 might seem close, it still falls short of the calculated total of approximately $489.70 when the gratuity is included in the original bill.
D) $490
This option is correct. The total bill is calculated by adding the gratuity of $74.70 to the original bill of $415, resulting in a total of approximately $489.70, which rounds to $490.
Conclusion
The correct answer is $490 because it accurately reflects the total amount after including the 18% gratuity on a $415 bill. All other options fail to account for the correct gratuity calculation, resulting in totals that are either underestimated or inaccurate.