On January 4, 1953 the price of a sprocket was $13.91. On January 4, 1973 the price of a sprocket was $84.57. Find the average rate of change in the price of a sprocket from 1953 to 1973. Round to the nearest cent.

The average rate of change is $LaTeX: \displaystyle \frac{84.57-13.91}{1973-1953}= 3.53$ dollars per year.