Final answer:
A loyalty or reward program provides discounts or benefits after a certain number of visits to a restaurant. These programs encourage repeat business by offering various incentives or discounts as milestones are reached.
Step-by-step explanation:
The method that provides discounts or benefits after a guest has visited a restaurant a specific number of times is known as a loyalty program or reward program. Restaurants often use loyalty programs to encourage repeat business by offering incentives, such as discounts, free meals, or other perks once a customer reaches certain milestones. For example, a restaurant might offer a free dessert after every fifth visit, or a discount card like the Entertainment® card mentioned in the question, could be used to redeem discounts on various visits, with maximum discount values specified for transactions.