Ed, welcome to the forum. I don't have a Revo, but most of the bungees terminate into a black round fitting. These screw into the boat. Here's what the Adventure looks like:
If you look closely, you should see two small notches at the perimeter of the fitting. Hobie makes a key that fits these notches, but you can use needle nose pliers to slip into the notches and spin it off. Once removed, the plastic socket looks like this:
Cut off and remove the old bungee, measure and get some new bungee material (Hobie dealers can get it for you), slip it through each fitting hole and tie a simple knot on the back side to secure it Trim off all excess. If you think they may come undone, hit the knots briefly with a small flame to solidify them (probably not necessary though). Thread the fittings in and you're ready to go.
Here's more info on the fittings: viewtopic.php?f=11&t=8922&hilit