Motorists Should Get Ready To Dig Deeper In Their Pockets To Fill Up Their Gas Tanks. According To AAA Auto Club, Consumers Can Expect The Price At The Pump To Continue To Rise For The Coming Weeks. Virginia Motorists Are Paying On Average This Week $2.22 A Gallon, While Tennessee Drivers Are Shelling Out On Average $2.17. The National Average Price Is $2.41.