Function Word Problems

Gab is painting the bedroom walls for a newly built hotel. Roughly every room has a dimension of 13 by 14 feet, with a ceiling height of 8 feet.$\\$ Gab only paints the walls, not the ceilings. For every 350 square feet, we need a gallon of paint. $\\$ Let $y$ be the number of gallons Gab needs, and $x$ be the number of bedrooms he is painting. What is the relationship between $x$ and $y$?