Math Arguments

Early Hard Drives

This 1961-era 1MB hard drive is not large enough to store this picture before it was condensed and converted to a JPG. It is the size of a counter-top taoster oven.




This 28MB IBM 1301 machine cost $110,000.00, weighed half a ton, and was the size of three large refrigerators side by side
.



And now you have this to carry around in your pocket.



Go here:
http://www.jcmit.com/flashprice.htm

Can you compose a simple rule about prices over time?
Data copied here:


X (decimal date),Y (US$/MB)
2003.17,0.258
2003.58,0.191
2003.75,0.219
2004,0.191
2004.17,0.238
2004.33,0.266
2004.42,0.223
2005.5,0.0762
2006.33,0.0219
2006.67,0.0156
2006.83,0.0146
2007,0.0122
2007.17,0.0104
2007.33,0.0105
2007.5,0.00976
2007.67,0.00805
2007.75,0.00763
2007.83,0.00732
2007.92,0.00763
2008,0.00458
2008.08,0.00463
2008.33,0.00415
2008.5,0.00354
2008.58,0.00305
2008.67,0.00311
2008.83,0.00183
2008.92,0.00214
2009,0.00162
2009.08,0.00168
2009.25,0.00204
2009.42,0.00214
2009.5,0.00195
2009.58,0.00177
2009.75,0.00214
2009.92,0.00226
2010,0.00244
2010.08,0.00226
2010.17,0.00244
2010.33,0.00201
2010.5,0.00193
2010.58,0.00176
2010.75,0.00177
2010.83,0.00146
2010.92,0.00119
2011,0.001403
2011.08,0.001251
2011.33,0.001342
2011.42,0.001219
2011.67,0.001007
2011.75,0.001037
2012,0.000824
2012.08,0.000824
2012.25,0.000793
2012.33,0.000702
2012.58,0.00058
2012.62,0.00061
2012.83,0.00061
2013,0.000458
2013.08,0.000518
2013.33,0.00058
2013.42,0.000564
2013.58,0.000564
2013.62,0.000564
2013.75,0.000534
2013.83,0.000542
2013.92,0.000548
2014.08,0.000457
2014.17,0.000473
2014.25,0.000366
2014.42,0.000389
2014.58,0.000335
2014.67,0.000345