According to Moore's law the number of transistors that can be placed on a integrated circuit has doubled every 2 years. In 1971 there were only 2300 transistors on an integrated circuit. Find an exponential function T(x)=Cax that gives the number of transistors on an integrated circuit X years after 1971. Evaluate T(40) and interpret your results Determine the year when integrated circuits first had 10 million transistors.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 1SE: Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof...
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According to Moore's law the number of transistors that can be placed on a integrated circuit has doubled every 2 years. In 1971 there were only 2300 transistors on an integrated circuit.

  1. Find an exponential function T(x)=Cax that gives the number of transistors on an integrated circuit X years after 1971.
  2. Evaluate T(40) and interpret your results
  3. Determine the year when integrated circuits first had 10 million transistors.
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