The k24 does tend to burn some oil, but it is also somewhat dependent on the year and the mileage. I've heard a few horror stories of 2013 models having oil burning issues. My 07 with the k24 burns about a quart every 1,250 or so. But it also has quite a few more miles than yours, I'm sure. It's annoying, but not the end of the world. My friend also has an 07 Accord with the k24 like mine and his burns about a quart every 3 or 4 thousand. But his also has 1/4 the mileage. My 08 Scion tC also burned quite a bit of oil, but not quite this much. About 1 quart every 2,500. That one only had around 100k on it, though. The 07-09 Toyota 2AZ-FE was known for oil burning.