Use a system of equations to solve problem.The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the 3 years considered. Number of dog collarsFind a function of the form f(x) = ax2 + bx + c that fits this data. Then, using this function, what would you predict the dog collar production of Allied Pet Products to be in 2006?

A. f(x) = 100x2 - 1600x + 40,000; 
77,700 collars
B. f(x) = 100x2 - 1600x - 20,000; 
17,700 collars
C. f(x) = 100x2 - 1600x + 20,000; 
57,700 collars
D. f(x) = 100x2 - 1600x + 35,000; 
72,700 collars


Answer: C

Mathematics

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