On January 4, 1959 the price of a sprocket was $90.49. On January 4, 1966 the price of a sprocket was $17.63. Find the average rate of change in the price of a sprocket from 1959 to 1966. Round to the nearest cent.

The average rate of change is $LaTeX: \displaystyle \frac{17.63-90.49}{1966-1959}= -10.41$ dollars per year.