In 1965, Intel cofounder Gordon Moore initiated what has since become known as Moore€™s law: the number of transistors per square inch on integrated circuits will double approximately every 18 months. In the table below, the first row lists different years and the second row lists the number of transistors (in thousands) for different years.

a. Assuming that Moore€™s law is correct and transistors per square inch double every 18 months, which mathematical model best describes this law: linear, quadratic, logarithmic, exponential, power? What specific function describes Moore€™s law?
b. Which mathematical model best fits the listed sample data?
c. Compare the results from parts (a) and (b). Does Moore€™s law appear to be working reasonably well?

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1971 1974 1298 120 1985 1980 1903 1900 42,000 2200000 4 2003 2007 2011 2.3 275 3100 7500 42,000 220,000 410,000 789,000 2,600,000