The rational functionf(x) = 27,725(x - 14)x2 + 9 - 5x models the number of arrests

Chapter 3, Problem 121

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The rational functionf(x) = 27,725(x - 14)x2 + 9 - 5x models the number of arrests, f(x), per 100,000 drivers, fordriving under the influence of alcohol, as a function of adrivers age, x. a. Graph the function in a [0, 70, 5] by [0, 400, 20] viewingrectangle.b. Describe the trend shown by the graph.c. Use the ZOOM and TRACE features or themaximum function feature of your graphing utility to findthe age that corresponds to the greatest number of arrests.How many arrests, per 100,000 drivers, are there for thisage group?

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