(Solved) Computer Usage The number of students per computer in U.S. public schools from the 1983-1984 school year through the 2003-2004 school year can


Question: Computer Usage The number of students per computer in U.S. public schools from the 1983-1984 school year through the 2003-2004 school year can be modeled by the function f(t) = 750.487 t \[^{-1.619}\] , where t is the number of years after the beginning of the 1980-1981 school year.

  1. Another function that might be used to model this data is:
    C ( t) = \[\frac{380}{t+0.3}\] - 15 students per computer
    Where t is the number of years after the beginning of the 1980-1981 school year. What is the basic function that can be transformed to obtain C? Describe the transformations.
  2. Do you feel that the function y = f(t) above or y = C(t) better fits the data? Why?
  3. There were 5.7 students per computer in 1998-1999. Which function, y = f(t) or y =C(t) , comes closer to estimating the actual value? Does this result agree with your thoughts in part (b)?

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