The power of personal computers has increased dramatically as a result of the ability to place an increasing number of transistors onto a single processor chip. The following table lists the number of transistors per square mm on some computer chips made in recent decades(a) Let t be the year, where t = 0 corresponds to 1970, and y be the number of transistors per square mm. Find functions of the form y = mt + b, y = at² + b, and y = a • b^t that fit the data at 1974 and 2019.
(b) Use a graphing calculator to plot the data in the table and to graph the three functions found in part (a). Which function best fits the data?
(c) Use the best-fitting function from part (b) to predict the number of transistors per square mm on a chip in the year 2025.
(d) If you have a graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with the answer to part (b)?

Chip 8080 8088 80386 80486 Pentium Pentium III Katmai Pentium D Presler 8-core Itanium Poulson Xeon Broadwell-E5 AMD Epyc Rome Year 1974 1979 1985 1989 1993 1999 2006 2012 2016 2019 Transistors/mm 300 879 2644 6822 10,544 74,219 2,234,568 5,698,529 15,789,474 36,341,912