The graph shows stopping distances for motorcycles at various speeds on dry roads and on wet roads. Stopping Distances for Motorcycles at Selected Speeds Speed (miles per hour) 300 800 100 200 Dry Pavement Wet Pavement 400 500 Stopping Distance (feet) 600 700 35 260 225 385 315 530 435 705 575 45 55 65 Source: National Highway Traffi c Safety Administration g(x)=0.125x2 +2.3x+27 f(x)=0.125x2 -0.8x+99 Dry pavement Wet pavement and The functions model a motorcycles stopping distance, f(x) or g(x), in feet, traveling at x miles per hour. Function f models stopping distance on dry pavement and function g models stopping distance on wet pavement. a. Use function g to fi nd the stopping distance on wet pavement for a motorcycle traveling at 35 miles per hour. Round to the nearest foot. Does your rounded answer overestimate or underestimate the stopping distance shown by the graph? By how many feet? b. Use function f to determine speeds on dry pavement requiring stopping distances that exceed 267 feet.

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