A Plane Suddenly Experiences Turbulence While in Flight $F ( x ) = \frac { 4 ( x - 8 ) ^ { 2 } - 6 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 12 }$

Multiple Choice

A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represented by the following function of time: $F ( x ) = \frac { 4 ( x - 8 ) ^ { 2 } - 6 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 12 }$ . Assuming that the turbulence first hits at time $x = 0$ , what is the maximum relative drop the plane will experience due to turbulence? (Round the result to the nearest hundredth.)

A) 0.53 ft
B) 0.26 ft
C) 16.83 ft
D) 8.17 ft