Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Althoughthe arrival of automobiles is irregular, traffic engineers have found that the average waiting time T' until there is a gap intraffic of at least t seconds is approximately T = teRi seconds. A pedestrian walking at a speed of 3.1 ft/s requires1 = s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing isS(w, R) = () e R/3.1 §.What is the pedestrian's average waiting time if w = 24 ft and R = 0.2 vehicle per second?(Use decimal notation. Give your answer to two decimal places.)t =Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft.(Use decimal notation. Give your answer to two decimal places.)Af =Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.19. Af =Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.19.(Use decimal notation. Give your answer to two decimal places.)=What is the rate of increase A in waiting time per 1-ft increase in width when w = 33 ft andR = 0.5 vehicle per second?(Use decimal notation. Give your answer to two decimal places.)A =

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Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T' until there is a gap in traffic of at least 1 seconds is approximately T = teRt seconds. A pedestrian walking at a speed of 3.1 ft/s requires 1 = s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is S(w, R) = () RI.1 §. What is the pedestrian's average waiting time if w = 24 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.)