In these problems we look at numerical characteristics of video cards, specifically NVidia GeForce  series:   dataSet =  {{2000, 25}, {2001, 53}, {2003, 125}, {2005, 302}, {2006, 680}, {2008, 754}, {2010, 1950}};  TableForm[dataSet, TableHeadings → {{}, {"Year", "Transistors (million)"}}]  Year Transistors (milli

In these problems we look at numerical characteristics of video cards, specifically NVidia GeForce  series:  

dataSet = 

{{2000, 25}, {2001, 53}, {2003, 125}, {2005, 302}, {2006, 680}, {2008, 754}, {2010, 1950}}; 

TableForm[dataSet, TableHeadings → {{}, {"Year", "Transistors (million)"}}] 

Year Transistors (million) 

2000 25 

2001 53 

2003 125 

2005 302 

2006 680 

2008 754 

2010 1950 

It would make sense to consider how S (number of transistors in millions) changes with time t (years  after 2000).

Pr10. Plot the data and the best exponential fit for the data. 

Pr11. What is the best exponential equation that describes the data? The exponential function can be of  the form b*at or b*er·t. 

Pr12. What is the annual growth percentage rate for the number of transistors? 

Pr13. Using the function above or continuing the pattern in the table, what number of transistors would  you predict for 2015?  

Pr14. Google number of transistors on NVidia GeForce GTX 980 Ti released in 2015. Compare with your  prediction in Pr13. 

Pr15. For the function S(t) defined above, write down the functional notation for number of transistors  on NVidia GPU in 2020.