Whether the model R = 0.23 e 0.228 t where t represents the year will be fitted in the data for the period 2007 − 2014 when the table representing the revenues R (in billions of dollars) earned by the Netflix during the period 2007 − 2014 is as follows: Year 2007 2008 2009 2010 2011 2012 2013 2014 Revenue 1.21 1.36 1.67 2.16 3.20 3.61 4.37 5.50
Whether the model R = 0.23 e 0.228 t where t represents the year will be fitted in the data for the period 2007 − 2014 when the table representing the revenues R (in billions of dollars) earned by the Netflix during the period 2007 − 2014 is as follows: Year 2007 2008 2009 2010 2011 2012 2013 2014 Revenue 1.21 1.36 1.67 2.16 3.20 3.61 4.37 5.50
Solution Summary: The author explains that the model R=0.23e0.228t where t represents the year will be fitted in the data for the period 2007-2014.
Whether the model R=0.23e0.228t where t represents the year will be fitted in the data for the period 2007−2014 when the table representing the revenues R (in billions of dollars) earned by the Netflix during the period 2007−2014 is as follows:
Year
2007
2008
2009
2010
2011
2012
2013
2014
Revenue
1.21
1.36
1.67
2.16
3.20
3.61
4.37
5.50
(b)
To determine
To calculate: The linear model for the provided data and determine whether the linear model will be fitted in the data for the period 2007−2014 and also determine the best fit model from the given exponential model and the obtained linear model when the table representing the revenues R (in billions of dollars) earned by the Netflix during the period 2007−2014 is as follows:
Year
2007
2008
2009
2010
2011
2012
2013
2014
Revenue
1.21
1.36
1.67
2.16
3.20
3.61
4.37
5.50
(c)
To determine
To calculate: The year in which the revenue would exceed 20 billion dollars by using the exponential model R=0.23e0.228t and the linear model R=0.618t−3.61.
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Chapter 4 Solutions
Calculus: An Applied Approach (Providence College: MTH 109)
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