Civil Engineering—Traffic Fatalities: The Vision Zero program mentioned in Exercise 1 was also implemented in Germany. The annual number of traffic fatalities in Germany from 2000 to 2010 can be modeled by
f(x) = 7580(0.94)x 0 ≤ x ≤ 10
where x represents the number of years since 2000 and f(x) represents the number of traffic fatalities.
(a) Evaluate and interpret f(4).
(b) Compute the slope of the secant line of f for x = 4 and Δx = 5 and interpret.
(c) From analyzing the exponential model, was the Vision Zero program effective in Germany? Explain.
(d) Graph the model in the viewing window [0,10] by [4000,8000], Graph Y1 = 7580*. 94^x and Y2 = 5563, then use the Intersect command to determine the year there were 5563 traffic fatalities in Germany.
Exercise 1
Civil Engineering—Traffic Fatalities: Vision Zero is a traffic safety program started in Sweden in the late 1990s that emphasized ethics, responsibility, and safety mechanisms in order to reduce the number of traffic deaths in European countries. (Source: Association of Air Medical Services.) The annual number of traffic fatalities in France from 2000 to 2010 can be modeled by
f(x) = 8505(0.91)x 0 ≤ x ≤ 10
where x represents the number of years since 2000, and f(x) represents the number of traffic fatalities.
(a) Evaluate and interpret f(5).
(b) Compute the slope of the secant line of f for x = 5 and Δx = 4 and interpret.
(c) From analyzing the exponential model, was the Vision Zero program effective in France? Explain.
(d) Graph the model in the viewing window [0,10] by [2000,4000], Graph Y1 = 8505*. 91^x andY2 = 3312, then use the Intersect command to determine the year there were 3312 traffic fatalities in France.
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