When I was a kid, my family bought a 30 megabyte hard-drive. It died the first month, and we decided to replace it with a more "dependable" 10-megabyte hard-drive. We figured we'd never fill up that 10 megabyte hard-drive in a million years! This year, I invested in a set of 1- terrabyte drives - because one wasn't enough for storing all the games, pictures, music libraries, and movies my family is trying to store at home. (Keep in mind that 1 terabyte is the same as a million megabytes!) Which got me thinking... Borrowing heavily by some research compilations I found on the internet by mathematician and software engineer Matt Komo, here is a summary of some of the hard-drive computer data storage options that have been available over the years: Year Years since 1980 Brand Storage Size Price 1980 0 Morrow Designs 26 MB $5000 1981 1 Apple 5 MB $3500 1983 3 Corvus 20 MB $3495 1984 4 Percom/Tandon 15 MB $2095 1985 5 First Class Peripherals 10 MB $710 1987 7 Iomega 20 MB $1199 1989 9 Western Digital 40 MB $1199 1995 15 Seagate 2.1 GB $1699 1996 16 IBM 1.76 GB $380 1997 17 Maxtor 7 GB $670 1998 18 Western Digital 6.4 GB $530 1999 19 Quantum 8 GB $300 2000 20 Fujitsu 17.3 GB $232 2001 21 Quantum 40 GB $260 2002 22 Western Digital 40 GB $150 2003 23 Maxtor 80 GB $134 2004 24 Western Digital 160 GB $170 2005 25 Seagate 200 GB $140 2006 26 Maxtor 300 GB $150 2007 27 Seagate 250 GB $100 2008 28 Seagate 750 GB $200 2009 29 Beyond Micro 1 TB $270 2010 30 Hitachi 1 TB $75 2014 34 Hitachi 3 TB $150

Investigate the relationship between the # of years since 1980 and PRICE of hard drives. a) Find a linear model that best fits the data. What is its R Squared value? b) Find an exponential model that best fits the data. What is its R Squared value? c) Which model best represents the data? Using that best model: a. How would you describe the rate of change for this model? b. Predict the price of hard-drives in 2021.

Investigate the relationship between the # of years since 1980 and the SIZE of hard drives. (Hint: Notice the units are all different! You'll need to deal with that...) a) Find a linear model that best fits the data. What is its R Squared value? b) Find an exponential model that best fits the data. What is its R Squared value? c) Which model best represents the data? Using that best model: a. How would you describe the rate of change for this model? b. Predict the SIZE of hard-drives in 2021.

Investigate the relationship between the # of years since 1980 and the COST PER GIGABYTE of hard drives. a) Find a linear model that best fits the data. What is its R Squared value? b) Find an exponential model that best fits the data. What is its R Squared value? c) Which model best represents the data? Using that best model: a. How would you describe the rate of change for this model? b. Predict the COST PER GIGABYTE of hard-drives in 2021. Do you think it's a good idea to extend our models out to 2021? Do you think these trends will continue? Why or why not? Total for project: 50 points Accurate Calculations on this Worksheet: ______/20 Accurate Graphs: ______/20 Clear explanations of your work on this worksheet: ____/10