Fostering Advanced Algebraic Thinking with Casio Technology
c. Do any of the functions have x-intercepts? Explain.
Yes, but we don’t believe these have any real-world meaning. The x-intercepts
indicate the years in which these safety devices would save zero lives. Until
there are no people driving in the United States, we don’t think this will ever
be the case.
Sample Solution—Motorcycles and Helmets (continued)
d.
Which of the protective devices save the most lives each year?
The seatbelts save the most lives per year.
e.
Which of the protective devices are the most effective in saving lives? How is
this question different from part d, and is there enough information to
determine this?
Clearly, seatbelts save the most lives, but is that because more drivers wear
seatbelts than have airbags or wear motorcycle helmets. To determine which
of the protective devices is the most effective, we would like to compute the
ratio of lives saved to lives lost while using each of the protective devices.
Unfortunately, we do not have enough information to do so.
f. What is the estimated increase in the number of lives saved by each of the
protective devices between 2000 and 2006?
Since x = 0 represents 1990, x = 10 and x = 16 represent 2000 and 2006,
respectively.
Table
:
x Press p to return to the Main Menu, press 7 to access the Table
mode, then press u(TABLE) to create the table.
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