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.