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6. Each year, a baseball team sells boxes of chocolates as a fundraiser to lower the cost of team fees. The price of the chocolates

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6. Each year, a baseball team sells boxes of chocolates as a fundraiser to lower the cost of team fees. The price of the chocolates and the number of boxes sold varies each year. The information from ve years of sales is given in the table below. Pm\" Per 3.00 4.00 5.50 6.50 8.00 box $ Boxes 5837 3571 1950 1118 sold a. Find the regression equation in the form y = ax3 + bx2 + cx + d that best approximates the data. Express the values of a, b, c, and d to the nearest hundredth. (1 mark) b. Use the equation to nd the number of boxes, to the nearest whole number, that the team will sell if they charge $4.35 per box. (1 mark) c. One year, the team only sold 366 boxes of chocolates. What price did they charge for each box? (1 mark) d. If the team raises the price too high, they will not sell any boxes. Use your regression equation to predict the price of a box that will result in zero boxes sold. (1 mark)

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