Solve the problem involving modeling with polynomial functions.For this problem, y-values correspond to the number of students 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 cubic (third-degree) polynomial model.  (b) Based on the cubic model, how many students were at School X in 1992?

A. (a) y ? -57.1x3 + 405x2 + 239.1+ 2902;
(b) 
5721 students
B. (a) y ? -57.1x3 + 405x2 + 239.1+ 2902;
(b) 
4543 students
C. (a) y ? 118.5x3 - 824.x2 + 2347.1+ 2902;
(b) 
5246 students
D. (a) y ? -57.1x3 + 405x2 + 239.1+ 2902;
(b) 2902 students


Answer: B

Mathematics

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