Percentage of returns e-filed Year 2004 46.5 2005 51.1 2006 53.8 2007 57.1 2008 58.5 2009 67.2 2010 69.8 2011 77.2 2012 82.7 Source: Internal Revenue Service
. e-Filing Tax Returns The Internal Revenue Service
Restructuring and Reform Act (RRA) was signed into
law by President Bill Clinton in 1998. A major objective of
the RRA was to promote electronic filing of tax returns.
The data in the table that follows show the percentage of
individual income tax returns filed electronically for filing
years 2004–2012. Since the percentage P of returns filed
electronically depends on the filing year y, and each input
corresponds to exactly one output, the percentage of
returns filed electronically is a function of the filing year; so
P1y2 represents the percentage of returns filed electronically
for filing year y.
(a) Find the average rate of change of the percentage of
e-filed returns from 2004 to 2006.
(b) Find the average rate of change of the percentage of
e-filed returns from 2007 to 2009.
(c) Find the average rate of change of the percentage of
e-filed returns from 2010 to 2012.
(d) What is happening to the average rate of change as time
passes?
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