Solve the Problem $F ( x ) = \frac { 5 ( x - 10 ) ^ { 2 } - 19 } { 20 ( x - 10 ) ^ { 2 } - 10 ( x - 10 ) + 17 }$

Multiple Choice

Solve the problem.
-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: $F ( x ) = \frac { 5 ( x - 10 ) ^ { 2 } - 19 } { 20 ( x - 10 ) ^ { 2 } - 10 ( x - 10 ) + 17 }$ .

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) $28.39 \mathrm { ft }$
B) $10.21 \mathrm { ft }$
C) $0.25 \mathrm { ft }$
D) $1.19 \mathrm { ft }$