To determine to what percent Sheri should round the gratuity for the restaurant server, let's analyze the rounded alternatives provided, given the original gratuity expected.
The original gratuity percentage expected for the restaurant server is 18%. Sheri's options for rounding the gratuity percentage are 10%, 15%, 20%, and 30%. We'll determine which of these options is the best estimate by comparing the differences between each alternative and the original 18% rate.
Here are the steps:
1. Calculate the absolute differences:
- Difference between 18% and 10%:
[tex]\( |18 - 10| = 8 \% \)[/tex]
- Difference between 18% and 15%:
[tex]\( |18 - 15| = 3 \% \)[/tex]
- Difference between 18% and 20%:
[tex]\( |18 - 20| = 2 \% \)[/tex]
- Difference between 18% and 30%:
[tex]\( |18 - 30| = 12 \% \)[/tex]
2. Compare the differences:
- The differences are: 8%, 3%, 2%, and 12%.
3. Identify the smallest difference:
- The smallest difference is 2%, which occurs when rounding to 20%.
Therefore, based on the smallest difference from the original 18%, Sheri should round the gratuity for the restaurant server to 20% to come up with a good estimate.
