Tennessee Gas Prices Continue To Fall. According To Triple-A The Gas Price Average Is Now $3.02, Which Is 24 Cents Less Expensive Than One Month Ago And 13 Cents Less Than A Year Ago. Tennessee Is Now In Its Fifth Week Of Gas Price Declines. AAA Spokeswoman Megan Cooper Said If Crude Oil Prices Hold Steady, It’s Very Likely We Will See Prices Fall Again This Week. Kingsport Gas Prices Are Among The Lowest In The Metro Area.