A rate of change describes how one quantity changes in relation to another quantity, In our case, we need to find the rate of change of the rate with respect to the average price.
Then, the rate of change from 2000 to 2012 is given by the ratio of the difference between the number of years between 2000 and 2012 to the difference between the corresponding prices:
which gives
Similarly, the rate of change from 2012 to 2015 is given as
In summary, the answers are:
Part 5: The rate of change from 2000 to 2012 is: 7.407
Part 6: The rate of change from 2012 to 2015 is: - 2.52