Solve the problem involving modeling with polynomial functions.The bar graph shows the number of personal checks written (in millions) during the years 1981 (x = 1), through 1987 (x = 7).
(a) Use the polynomial-fitting capability of a calculator to determine a quadratic function that best fits these data.(b) Repeat part (a) for a cubic function.
A. (a) y ? -1.86x3 + 21.5x2 - 130.353175x + 743.857143
(b) y ? 3.049242x4 - 50.648989x3 + 285.041667x2 - 677.474387x + 1088.857143
B. (a) y ? -0.8x2 - 54.047619x + 676.857143;
(b) y ? -1.86x3 + 21.5x2 - 130.353175x + 743.857143
C. (a) y ? -0.8x2 - 55.714286x + 621.976190;
(b) y ? -1.86x3 + 15.91
x2 - 92.936508x + 633.1428571
D. (a) y ? -0.8x2 - 55.714286x + 621.976190;
(b) y ? - 50.648989x3 + 285.041667x2 - 677.474387x + 1088.857143
Answer: B
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B. = -
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C. =
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+
D. =
+
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