Year Percentage of returns e-filed 2000 27.9 2001 31.1 2002 35.9 2003 40.6 2004 47.0 2005 51.8 2006 54.5 2007 58.0 2008 59.8 SOURCE: Internal Revenue Service

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 2000–2008. 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 P(y) 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 2000 to 2002.

(b) Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.

(c) Find the average rate of change of the percentage of e-filed returns from 2006 to 2008.

(d) What is happening to the average rate of change as time passes?

Year
Percentage of returns e-filed
2000
27.9
2001
31.1
2002
35.9
2003
40.6
2004
47.0
2005
51.8
2006
54.5
2007
58.0
2008
59.8
SOURCE: Internal Revenue Service
Transcribed Image Text:Year Percentage of returns e-filed 2000 27.9 2001 31.1 2002 35.9 2003 40.6 2004 47.0 2005 51.8 2006 54.5 2007 58.0 2008 59.8 SOURCE: Internal Revenue Service
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