Problem

Civil Engineering—Traffic Fatalities: Vision Zero is a traffic safety program started in S...

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 and Y2 = 3312, then use the Intersect command to determine the year there were 3312 traffic fatalities in France.

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