Question: Students per computer the table shows the average number of students per computer in public schools for selected school years from 1985-1986 to 2005-2006. If S represents the students per computer, then the rate of change of these data can be modeled by the differential equation
dS/dt = -0.12935S, S(7) = 18
where t is the number of school years past the 1984- 1985 school year.
(a) Find the particular solution to this differential equation.
(b) Check the model you found in part (a) against the data in the table. Is the model more accurate for the school data near 1985-1986 or near 2001-2002?
