Use a system of equations to solve problem.The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands in 3 recent years. Cumquat consumptionFind a function of the form f(x) = ax2 + bx + c that fits this data. Then, using this function, what would you predict the per capita cumquat consumption to be in 2000?

A. f(x) = 0.3x2 + 0.8x + 12.8;
82.8 pounds
B. f(x) = 0.3x2 + 0.8x + 12.4;
82.4 pounds
C. f(x) = 0.3x2 + 0.8x + 10.1;
80.1 pounds
D. f(x) = 0.3x2 + 0.8x + 13.9;
83.9 pounds

Answer: B

Mathematics

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Let

? Use a Riemann sum with four subintervals of equal length () to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals. ? Repeat previous part with eight subintervals of equal length (). ? Compare the approximations obtained in previous parts with the exact area (4 sq units). Do the approximations improve with larger n? ? A. 4.8 sq units; 4.4 sq units; yes B. 4.4 sq units; 4.8 sq units; yes C. 4.8 sq units; 4.4 sq units; no D. 4.4 sq units; 4.8 sq units; no