Fort Rock Cave in Oregon is the site where archaeologists discovered several Indian sandals, the oldest ever found in Oregon.  Analysis of the 14C/12C ratio of the sandals gave an average decay rate of 5.1 dpm per gram of carbon.  Carbon found in living organisms has a 14C/ 12C ratio of 1.3 X 10-12, with a decay rate of 15 dpm/g C. 

How long ago was the sage brush in the sandals cut?  The half life of carbon-14 is 5730 years