. Sales The table shows the sales (in billions of dollars) for Wal-Mart stores from 2006 through 2013. (Source: Wal-Mart Stores, Inc.) Year 2006 2007 2008 2009 Sales 348.7 378.8 405.6 408.2 Year 2010 2011 2012 2013 Sales 421.8 447.0 469.2 476.2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.1: Lines And Linear Functions
Problem 72E: LIFE SCIENCE APPLICATIONS HIV Infection The time interval between a persons initial infection with...
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Sales The table shows the sales (in billions of
dollars) for Wal-Mart stores from 2006 through
2013. (Source: Wal-Mart Stores, Inc.)
Year 2006 2007 2008 2009
Sales 348.7 378.8 405.6 408.2
Year 2010 2011 2012 2013
Sales 421.8 447.0 469.2 476.2
(a) Setup a system of equations representing the data for the years 2006 - 2010, setup a system of equations to fit the data based on a quartic (4th degree)
model. What are the equations?
(b) Solve the system using Mathematica. What are the coefficients aî, A1, A2, A3, A4 of the quartic equation?
(c) Produce a scatter plot in Desmos, and graph the function in the same window. Provide the graph below.
(d) Does the solution produce a reasonable model for predicting sales after 2010?
Transcribed Image Text:Sales The table shows the sales (in billions of dollars) for Wal-Mart stores from 2006 through 2013. (Source: Wal-Mart Stores, Inc.) Year 2006 2007 2008 2009 Sales 348.7 378.8 405.6 408.2 Year 2010 2011 2012 2013 Sales 421.8 447.0 469.2 476.2 (a) Setup a system of equations representing the data for the years 2006 - 2010, setup a system of equations to fit the data based on a quartic (4th degree) model. What are the equations? (b) Solve the system using Mathematica. What are the coefficients aî, A1, A2, A3, A4 of the quartic equation? (c) Produce a scatter plot in Desmos, and graph the function in the same window. Provide the graph below. (d) Does the solution produce a reasonable model for predicting sales after 2010?
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