Given that,
The table which has shown the number of scientific research articles in a journal authored by the researcher in the period 1980 -2010.
We have to find an average rate of change in each interval.
The average rate of change on the interval [a,b] is .
Take the first interval of 1980 -2010.
That means t = 0 to t = 30.
Thus an average rate of change for the period 1980 - 2010 is
By simplifying it gives,
Now similarly find the average rate of change for other intervals,
For the period 1980-1985.
That means t = 0 to 5.
The average rate of change = .
For the period 1985 - 1990.
That means t = 5 to 10.
The average rate of change = .
For the period 1990 - 1995.
That means t = 10 to 15.
The average rate of change = .
For the period 2000 - 2005.
That means t = 20 to 25.
The average rate of change = .
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