Solve the problem involving modeling with polynomial functions.For this problem, y-values given correspond to the number of graduates at School X over the years 1990 (x = 0), through 1994 (x = 4). (a) Use the data given in the table below to determine a quartic (fourth-degree) polynomial model.  (b) Based on the quartic model, how many graduates were at School X in 1991?

A. (a) y ? 7.291x4 - 56.58x3 + 126.708x2 - 73.41+ 674;
(b) 
678 graduates
B. (a) y ? 7.291x4 - 85.75x3 + 340.208x2 - 525.75x + 938;
(b) 
674 graduates
C. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 657 graduates

D. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 
688 graduates


Answer: A

Mathematics

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