Geoff purchased an annual golf pass for a municipal golf course in his town. He pays a flat fee for the annual golf pass and then each round he plays he must pay the additional cost for a golf cart.

A linear model of this situation contains the values (20 , 1,013) and (35 , 1,163), where x represents the number of times he plays each year, and y equals the total amount he spends on golf in one year.

What is the flat fee for the annual golf pass?