Both teams are now 3-1 on the season.
The Spartans hit the Eagles with a 15-2 run in the opening four minutes and coasted the rest of the way.
Ricky Hickman led the winners with 23 points. Ricky Easterling, Harry Moore and Nick Stewart each scored eight points to lead the Eagles.
The Spartans shot 60.7 percent from the floor while the Eagles made just 35.5 percent of their shots. BC did outrebound the hosts by a 34-29 margin with Clay Mcihael leading the Eagles with seven boards.