Back to 6.8 Fitting Exponential Models to Data

6.8 Exercise 11

Avg difficulty 2.5

Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. the table shows the number of games sold, in thousands, from the years 2000–2010.

Year 2000 2001 2002 2003 2004 2005
Number Sold (thousands) 142 149 154 155 159 161
Year 2006 2007 2008 2009 2010 -
Number Sold (thousands) 163 164 164 166 167 -
  1. ⓐ Let x x represent time in years starting with x=1 x = 1 for the year 2000. Let y y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data.
  2. ⓑ If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.

OpenStax Algebra and Trigonometry 2e, 6.8 Fitting Exponential Models to Data, exercise 11

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.