The average person worships different gods in different contexts. Most vocations have a patron deity: farmers make offerings to Chauntea for the prosperity of their crops, clerks sharpen their quills with a prayer to Deneir, while pious merchants remember to set coins aside for Waukeen at the end of the day. Most people worship a deity associated with their livelihood, family, or home, while others feel called to a particular god for a variety of reasons. Individuals often carry or wear a small token of their favored deity: a pendant or a pin in the image of the god's holy symbol, or some other personal keepsake.
In addition, people regularly venerate gods based on their needs and circumstances: a farmer whose favored deity is Chauntea would pray to Amaunator for a few clear, sunny days, and a Waterdhavian noble who habitually worships Deneir would give thanks to Sune after a successful coming-out party for her son. Even priests of particular gods acknowledge the roles that other deities play in the world and in their lives.
In general, worshipers view their relationships with the gods as practical and reciprocal: they pray and make offerings because that is how one invites the blessings of the gods and turns away their wrath. These prayers and other acts of devotion are generally performed quietly at the shrine in one's household or community, or occasionally in a temple dedicated to one's deity, when a worshiper feels the need to "come knocking upon a god's door" to ask for attention.
Forms of worship are often acts of veneration: giving
thanks for favor shown, making requests for future
blessings, and offering praise for the deity's intercessions, large and small. Because most folk in Faerûn don't want to attract the ire of the cruel or savage gods,
beseeching them to keep the peace is also an act of
worship. A hunter or a farmer might make offerings to
Malar in hopes of keeping predators at bay, and a sailor
might pray to Umberlee that she withhold her wrath for
the duration of a voyage.