FLC OF ACR WDB ACFT MADE AN EMER DSCNT AFTER LOSING ACFT PRESSURIZATION.

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WE HAD A RAPID DEPRESSURIZATION AT FL350. WE ALL IMMEDIATELY DONNED OUR OXYGEN MASKS. I TURNED THE ACFT 90 DEGS TO THE AIRWAY TOWARD THE NW AND SIMULTANEOUSLY INITIATED AN EMER DSCNT. DURING THE DSCNT I INSTRUCTED MY FO TO CONTACT ARINC AND ADVISE THEM THAT WE HAD LOST OUR CABIN PRESSURE; HAD TURNED 90 DEGS TO THE AIRWAY TO THE N; AND WERE MAKING AN EMER DSCNT TO 14000 FT. IN THE URGENCY OF THE MOMENT; I NEGLECTED TO TELL HIM TO VERBALLY DECLARE AN EMER. ONE OF THE FO'S DUTIES DURING AN EMER DSCNT IS TO SET 7700 IN THE TRANSPONDER; WHICH HE DID. LATER ON IN THE FLT; AT FL140; ARINC ASKED IF WE WERE DECLARING AN EMER. I SUMMARIZED OUR CURRENT SITUATION WITH THE CREW: WE HAD PLENTY OF FUEL; PLENTY OF CREW OXYGEN; NO CTL PROBLEMS WITH THE ACFT; THE FUSELAGE APPEARED TO BE INTACT (THE FLT ATTENDANTS HAD RPTED NO VISUAL DAMAGE TO THE CABIN FUSELAGE); THE NAV WAS GOOD; THE PAXS WERE COMFORTABLE AND OK (THE FLT ATTENDANTS HAD NOW RPTED); AND THE WX AT OUR DEST ARPT WAS GOOD. I THEREFORE DECIDED; WITH THE CREW'S CONCURRENCE; THAT OUR PRESENT CIRCUMSTANCES DID NOT NECESSITATE DECLARING AN EMER AT THAT TIME. I WILL ADD THAT IT WAS VAGUE TO ME WHY ATC WOULD BE ASKING IF WE WERE DECLARING AN EMER AT THAT TIME; WHEN WE HAD ALREADY DEVIATED FROM OUR ASSIGNED ALT AND COURSE BECAUSE OF A RAPID DEPRESSURIZATION. I CONCLUDED THAT THEY WERE INQUIRING AS TO OUR IMMEDIATE CIRCUMSTANCE. I DECIDED AGAINST TRYING TO CLR THIS UP WITH ATC BECAUSE OF THE LACK OF COMPREHENSION OF OUR TRANSMISSIONS BY ARINC. ON ONE OCCASION MY FO HAD TO REPEAT 'WE SUSPECT A PRESSURIZATION DUCT' SEVERAL TIMES. AFTER SEVERAL 'SAY AGAIN'S' AND 'SAY AGAIN -- PRESSURIZATION WHAT'S?' BY ARINC; ANOTHER ACFT'S PLT BUTTED IN STERNLY WITH 'THIS IS ----; RELAYING FOR 'OUR ACFT'; THEY SUSPECT A PRESSURIZATION DUCT.' WE SUBSEQUENTLY PROCEEDED TO OUR DEST AND LANDED UNEVENTFULLY. WE BLOCKED IN WITH IN EXCESS OF ONE HR OF FUEL REMAINING; AND NO RPTED INJURIES TO ANY PAX OR CREW MEMBER. ALL NORMAL; ABNORMAL; AND EMER CHKLISTS AND PROCS HAD BEEN COMPLIED WITH.