The table shows y , the average speed of a cyclist in miles per hour, and x , the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table? Time, x (hours) Average Speed, y (miles per hour) 12 8 16 6 10 and 2 thirds 9 18 5 and 1 third

For a fixed bicycle tour, distance equals speed multiplied by time. Each row gives the same distance: 12 × 8 = 96 miles, and 16 × 6 = 96 miles. So the average speed is the total distance, 96 miles, divided by the time x: y = 96/x. This is choice D, y equals 96 over x.

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