The current slab is a hair under 6.75 yards. Not a lot of concrete, but worth looking into as a salvagable option. If the house were mine, I'd get the bobcat with a breaker or a 90 lb. hammer and go to town. A lot of quarries take clean concrete with no organics, i.e. wood, for free as they crush it to reuse as aggregate. Other places will use it to stabilize creek beds, slowing erosion. If you get a lot of freezing, frost heaving can also be a factor. Being a General Contractor as well as other things, (all legal I assure you...), I would tear out the concrete, set some footings below the frost line, consider a pretensioned system, and look into the in slab radiant heating systems available. The concrete is cheap, the labor is not. If I were building a 20-40k addition however, I would seriously consider a straight pour using 6-7 sack mix with plenty of #5 rebar.
If you do reuse the current slab, I'd stick with local code, hire a structural engineer with a background in soils, and follow his advice. You would most likely need to drill holes in the current slab, set rebar in the holes with Simpson Set-Pac Epoxy, and tie into the new pour rebar grid layout.
Like I said, concrete is cheap. Especially when it comes to fixing buckling sheetrock, warped siding, and a fat swale in the roof trusses. Estimate the job both ways. Trust the engineer and stay on the budget you created when you worked up the estimate. Get permits. If anything bad happens, it's much easiler to argue with the insurance company when your bases are covered. Good luck.
