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X 2003 3.4225 3.0121 2004 3.7575 3.4315 2005 3.9332 3.6257 2006 4.7512 3.8023 2007 4.9768 4.5400 2008 5.5485 4.8231 2009 5.7225 5.0321 2010 6.1668 5.8500

X

2003

3.4225

3.0121

2004

3.7575

3.4315

2005

3.9332

3.6257

2006

4.7512

3.8023

2007

4.9768

4.5400

2008

5.5485

4.8231

2009

5.7225

5.0321

2010

6.1668

5.8500

2011

5.9600

5.9523

2012

6.0927

5.6871

2013

5.6223

6.3110

2014

5.5012

6.6321

2015

4.8853

7.7423

  1. Using the data set in the table, model Sales Revenues, R(x)as a quadratic function of year, with x=0 representing 2000. That is, plot this set of data and find the curve of best fit. (Use Excel)(Hint: replace 2003 with x=3, 2004 with x=4, and so forth before plotting the graph and finding the best fit curve.
  2. Use the function R(x) you found in part a to determine the year (round to the nearest integer when necessary) in which the maximum revenue occurs, and then compare this value with the real data (maximum revenue in the table).
  3. Write a sentence to describe how well the function fits the data.
  4. Using the data set in the table, model Cost and Expenses, C(x),as a quadratic function of year, with x=0 representing 2000. That is, plot this set of data and find the curve of best fit.(Use Excel)(Hint: replace 2003 with x=3, 2004 with x=4, and so on before plotting the graph and finding the best fit curve.)

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