To determine the description of the service based on the total amount the family paid and the tip, we first need to calculate the sales tax on their meal.
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Calculate Sales Tax:
- The tax rate is 5.8%.
- The total for the meals is $73.89.
- Sales tax amount = 73.89 * 0.058 = $4.29 (approximately).
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Calculate Total with Tax:
- Total with tax = Meal total + Sales tax = $73.89 + $4.29 = $78.18.
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Calculate the Tip Amount:
- The total amount paid is $93.
- Tip amount = Total paid - Total with tax = $93 - $78.18 = $14.82.
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Calculate Tip Percentage:
- Tip percentage = (Tip amount / Total with tax) * 100.
- Tip percentage = (14.82 / 78.18) * 100 ≈ 18.96%.
Now, we can compare this tip percentage to the options given:
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a. They left a 10% tip, so the service was probably below average.
- This is not correct.
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b. They left a 15% tip, so the service was probably average.
- This is a possible description, but it's lower than the calculated percentage.
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c. They left a 20% tip, so the service was probably above average.
- This is slightly above the calculated percentage.
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d. They left a 25% tip, so the service was probably outstanding.
- This is significantly higher than the calculated percentage.
From these options and calculations, the most accurate description is:
b. They left a 15% tip, so the service was probably average.
However, since the actual percentage is around 19%, it may be inferred that the service was actually better than average, but among the given options, b is the closest.