Suppose a parking garage atten- dant can wait on 4 vehicles per minute and vehicles are leaving

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Suppose a parking garage atten- dant can wait on 4 vehicles per minute and vehicles are leaving the ramp randomly at an average rate of x vehicles per minute. Then the average time T in minutes spent waiting in line and paying the attendant is given byimage


where 0 ≤ x


(a) Evaluate 7(2) and interpret the result.


(b) Graph T for 0 ≤ x


(c) What happens to the waiting time as x increases from 0 to (nearly) 4?


(d) Find x if the waiting time is 5 minutes.

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