A train makes a non-stop journey from one city to another and back again each day. Over

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A train makes a non-stop journey from one city to another and back again each day. Over a period of 30 days, the mean number of passengers per journey is exactly 61.5. Exact one-way ticket prices paid by these passengers are given by percentage in the following table.


a. Calculate the total revenue from ticket sales, and explain why your answer is an approximation.

b. The minimum and maximum possible revenues differ by $k. Find the value of k.

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