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

question 206

Multiple Choice

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) \(5.5 \leq x \leq 5.9\)

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Definitions:

Eutherian Mammal

Mammals that develop within the uterus of the female and are nourished before birth through a placenta, synonymous with placental mammals.

Rodentia

An order of mammals also known as rodents, characterized by a pair of continuously growing incisors in both the upper and lower jaws that must be kept short by gnawing.

Eutherian Mammal

A mammal whose offspring is born at a more mature stage after developing in a uterus with a placenta.

Carnivora

An order of mammals that predominantly eat meat, including species such as lions, bears, and domestic dogs.