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 by

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.

Transcribed Image Text:

T(x) = 1 4-