It’s Going To Take More Money To Fill Up Your Tank These Days. Megan Osborne With AAA Auto Club Said One Reason For The Higher Prices At The Pump Rising Oil Prices. Tennessee Gas Prices Increased Six Cents This Week. The State Average Of $2.34 Is 10 Cents More Than A Month Ago. The National Prices Of Gas This Week Stands At $2.52 A Gallon.