Driver’s In Tennessee Continue To See Pump Prices Decline As We Head Into The Memorial Day Weekend With Prices Falling Seven Cents Over The Last Week. The Tennessee Gas Price Average Is Now $3.16 Which Is 8 Cents Less Expensive Than One Month Ago. AAA Spokeswoman Megan Cooper Says Prices Will Likely Be About The Same As Last Year Or Less. Tennessee Is Now Ranked The 7th Least Expensive Market In The Nation.