On January 4, 1986 the price of a sprocket was $47.75. On January 4, 2006 the price of a sprocket was $49.77. Find the average rate of change in the price of a sprocket from 1986 to 2006. Round to the nearest cent.

The average rate of change is $LaTeX: \displaystyle \frac{49.77-47.75}{2006-1986}= 0.10$ dollars per year.