21. 121. Time Spent in Line If two parking attendants can wait on 8 vehicles per minute and vehicles are leaving the parking garage randomly at an average rate of x vehicles per minute, then the average time Tin minutes spent waiting in line and paying the attendant is given by the formula T (x) = -, where 0 < x < 8. A graph of T is shown in the figure. I-8) 10 8 x - 8 0i 2 3 4 5 6 7 8 9 Traffic rate (cars/min) Evaluate T(4) and T(7.5). Interpret each of these results. b. What happens to the wait as vehicles arrive at an average rate that approaches 8 cars per minute? Wait (minutes) a.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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121. 121.Time Spent in Line If two parking attendants can wait on 8 vehicles per minute
and vehicles are leaving the parking garage randomly at an average rate of x vehicles
per minute, then the average time Tin minutes spent waiting in line and paying the
attendant is given by the formula T (x) = -, where 0 < x < 8. A graph of T is
shown in the figure.
y
10 -
9
8.
y = --8
01 2 3
4 5
6.
7 8 9
Traffic rate (cars/min)
а.
Evaluate T(4) and T(7.5). Interpret each of these results.
b. What happens to the wait as vehicles arrive at an average rate that
approaches 8 cars per minute?
Wait (minutes)
Transcribed Image Text:121. 121.Time Spent in Line If two parking attendants can wait on 8 vehicles per minute and vehicles are leaving the parking garage randomly at an average rate of x vehicles per minute, then the average time Tin minutes spent waiting in line and paying the attendant is given by the formula T (x) = -, where 0 < x < 8. A graph of T is shown in the figure. y 10 - 9 8. y = --8 01 2 3 4 5 6. 7 8 9 Traffic rate (cars/min) а. Evaluate T(4) and T(7.5). Interpret each of these results. b. What happens to the wait as vehicles arrive at an average rate that approaches 8 cars per minute? Wait (minutes)
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