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2. The data in the table shows the times for Men's 500-m Speed Skating event at the Winter Olympics. Let x be the number of

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2. The data in the table shows the times for Men's 500-m Speed Skating event at the Winter Olympics. Let x be the number of years since1980.Year1984198819921994199820022006Time (sec)38.1936.4537.1436.3335.5934.4234.84SOURCE: www.infoplease.comDDDDDa. Find a quadratic model for the data set.b. Find a cubic model for the data set.c. Find a quartic model for the data set.d. Compare the models and determine which one is more appropriate. Explain your choice.

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