A university project that enrollments are going to decline as the pool of college-aged applicants begins to shrink. They have estimated the number of applications for coming years to behave according to the function                                     a = f(t) = 6,500 – 250t where a equals the number of applications for admission to the university and t equals time in years measured from this current year (t = 0). What class of function is this? What is the expected number of applications 5 years from today? 10 years? Do you think this function is accurate as a predictor indefinitely into the future?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A university project that enrollments are going to decline as the pool of college-aged applicants begins to shrink. They have estimated the number of applications for coming years to behave according to the function

                                    a = f(t) = 6,500 – 250t

  1. where a equals the number of applications for admission to the university and t equals time in years measured from this current year (t = 0).
  • What class of function is this?
  • What is the expected number of applications 5 years from today? 10 years?
  • Do you think this function is accurate as a predictor indefinitely into the future?
  • What kinds of factor would influence the restricted domain on t?
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