Solve the Problem $F ( x ) = - \frac { 2 ( x - 6 ) ^ { 2 } + 5 ( x - 6 ) - 4 } { 2 ( x - 6 ) + 60 }$

question 243

Multiple Choice

Solve the problem.
-As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time: $F ( x ) = - \frac { 2 ( x - 6 ) ^ { 2 } + 5 ( x - 6 ) - 4 } { 2 ( x - 6 ) + 60 }$ . Starting at $x = 0$ , when the source of sound is first sensed, how much time elapses until maximum sound intensity is felt? Round the result to the nearest hundredth.

• A) \(0.12 \mathrm { sec }\)
• B) \(52.69 \mathrm { sec }\)
• C) \(4.69 \mathrm { sec }\)
• D) \(29.92 \mathrm { sec }\)

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