Final answer:
The proper way to greet a guest in a restaurant is to smile and offer a warm welcome, which sets a friendly and professional tone for their visit.
Step-by-step explanation:
The proper way to greet a guest entering a restaurant is to smile and offer a warm welcome. This approach is friendly and professional, setting a positive tone for the guest's dining experience. A handshake may be too formal and is not usually expected in a restaurant setting. Ignoring guests or handing them a menu without a greeting are not appropriate ways to welcome guests.
Greeting guests promptly and warmly can also positively reflect on the restaurant's customer service quality, which is important in the hospitality industry. The first impression often sets the stage for the overall dining experience, making it crucial for staff to be approachable and attentive from the moment guests walk through the door.