Suppose that a construction zone can allow 50 cars per hour to pass through and that cars

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Suppose that a construction zone can allow 50 cars per hour to pass through and that cars arrive randomly at a rate of x cars per hour. Then the average number of cars waiting in line to get through the construction zone can be estimated byimage


(a) Evaluate N(20), N(40), and N(49). 


(b) Explain what happens to the length of the line as x approaches 50. 


(c) Find any vertical asymptotes of the graph of N.

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