The taxiway used by an air-craft to exit a runway should not have sharp curves. The safe radius for any curve depends on the speed of the airplane. The table lists the minimum radius R of the exit curves, where the taxiing speed of the airplane is x miles per hour.

(a) If the taxiing speed x of the plane doubles, what happens to the minimum radius R of the curve? 

(b) The FAA used R(x) = ax² to compute the values in the table. Determine a. 

(c) If R = 500, find x. Interpret your results.

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x(mi/hr) 10 R(ft) 50 20 30 40 50 200 450 800 1250