On January 4, 1976 the price of a sprocket was $93.78. On January 4, 2006 the price of a sprocket was $42.06. Find the average rate of change in the price of a sprocket from 1976 to 2006. Round to the nearest cent.

The average rate of change is $LaTeX: \displaystyle \frac{42.06-93.78}{2006-1976}= -1.72$ dollars per year.