If a Parking Ramp Attendant Can Wait on 6 Vehicles $f ( x ) = \frac { 1 } { 6 - x }$

If a parking ramp attendant can wait on 6 vehicles per minute, and vehicles are leaving the ramp at x vehicles per minute, then the average wait in minutes for a car trying to exit is given by $f ( x ) = \frac { 1 } { 6 - x }$ . Solve the inequality $2 \leq \frac { 1 } { 6 - x } \leq 10$ to determine the exit rates x that would result in average wait times between 2 and 10 minutes.

A) $x \geq 5.9 \text { or } x \leq 5.5$
B) $0.7 \leq x \leq 3.5$
C) $5.4 \leq x \leq 6.0$
D) $5.5 \leq x \leq 5.9$

Correct Answer:

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