Burning oil on 2007 Honda Odyssey

I am down a little less than a quart of oil when it is time to change the oil. I get to 15% on the maintenance minder at roughly 7-8,000 miles. I am using 5W-20 oil as recommended in the owners manual. There is no oil on my garage floor. I brought this in for warranty service at Honda and they indicated that they would not do anything until it was burning one quart every 1,000 miles. Is burning this much oil a concern on a new car? Any ideas on what may be wrong?

Asked by for the 2007 Honda Odyssey
I have always been surprised to see the figures 800 miles to a quart of oil and 1000 miles to a quart of oil being seen as acceptable, but I have seen that specification from Honda, Mercedes and other manufacturers as being normal even on new cars. A brand new engine will "burn" a little oil until it gets "broken in". Make sure your complaints of oil consumption is noted on every repair order while the car is under warentee. Concider me old fashion but I still change the oil in all my cars and my families cars every 3000 miles. I have an Acura with 130,000 miles and a Toyota truck with 165,000 miles nith looses a drop of oil between oil changes.