Final answer:
To calculate the total check for the office employee's lunch, add the cost of on-premise items with tax and the cost of takeaway items. The restaurant meal costs $5.11 with tax, and the carryout costs $3.33, totaling $8.44.
Step-by-step explanation:
The subject of the question is Mathematics, specifically focusing on calculating the total cost of a meal including state tax and additional items. To determine the total amount of the check for the office employee's lunch at the sandwich shop, we must add together the cost of the items purchased and then apply the appropriate tax rate to the items consumed on premises.
For the restaurant lunch, which includes the chef's salad ($3.95) and iced tea ($0.60), we apply a 5% tax because the meal is eaten on the premises. The tax for these items would be calculated as follows: ($3.95 + $0.60) × 5% = $4.55 × 0.05 = $0.2275, which we can round to $0.23. The carryout lunch consists of a sandwich ($2.25), potato chips ($0.49), and soft drink ($0.59), summing up to $3.33, with no tax since it is takeaway.
Adding the taxed restaurant lunch to the untaxed carryout lunch gives the total: ($4.55 + $0.23) + $3.33 = $5.11 (restaurant lunch with tax) + $3.33 (carryout lunch) = $8.44, which is the total amount of the check.