Rational Functions 2) Rational functions can be used to model the expected average time a customer will wait in line, dependent on conditions such as the customer arrival rate, the average time it takes to serve a customer, and the number of service lanes that are open. For instance, the rational function W(x) = , where 16 15. a) Use W(x) to determine the average expected wait time for a cashier who can serve 25 customers per hour. State your answer in hours and then convert that result to minutes. [5 marks] b) How many customers must the cashier serve per hour, to reduce the average expected wait time to 0.0125 hour (45 seconds)? (Hint: Replace W(x) with 0.0125 and solve the resulting equation for x.) Round your answer to the nearest tenth. [5 marks] ) Explain, in the context of this application, why W(x) decreases as x increases. [2 marks] 8 d) Graph the function W (x) = = where 16 40). Discuss any implications for customer wait times based on your predictions. [2 marks] f) Explain the significance of the vertical and horizontal asymptotes of the function W (x) = 8 x(x-16) wait times? How do these asymptotes influence the operational decisions of the convenience store, such as staffing and service rate adjustments? [ 3marks] ,where 16