Suppose the average number of vehicles arriving at the main gate of an amusement park is equal to 10 per minute, while the average number of vehicles being admitted through the gate per minute is equal to x. Then the average waiting time in minutes for each vehicle at the gate can becomputed by  where > 10.

(a) Estimate the admittance rate x that results in an average wait of 15 seconds. 

(b) If one attendant can serve 5 vehicles per minute, how many attendants are needed to keep the average wait to 15 seconds or less?

Transcribed Image Text:

x-5 f(x) = ²10x²