Final answer:
The statement is true because tips are often calculated as a percentage of the bill, so a higher check average typically results in a higher tip amount for the server.
Step-by-step explanation:
The statement 'Servers are tipped according to their sales; therefore, high check averages can increase a server's tip potential' is true. Generally, tips are a percentage of the total bill, which is directly related to the check average. In restaurants where tipping is customary, a higher check average means that the absolute value of the tip increases, if the percentage tipped remains constant. For example, a server who receives a 15% tip on a $100 bill will earn a $15 tip, whereas the same percentage tip on a $50 bill would result in a $7.50 tip. Therefore, a higher check average can increase a server's tip potential.