A road crew is preparing the land for a new road and is very skilled at working at a constant rate of speed. At the end of 6 days, the crew had finished preparing 66.5 linear meters of new road. After 11 days, the crew had completed 114 linear meters of road. The road crew worked a half-day during one of the following weeks, so after 26.5 days, they had prepared 261.25 linear meters of the road. What is the rate of change of the length of road prepared, , to the number of days, , the crew worked?
