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

question 24

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) \(1.19 \mathrm { ft }\)

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