56. Highway Safety The table shows the numbers of injuries N (in thousands) from motor vehicle accidents in the United States for the years 1991 through 2004. (Source: U.S. National Highway Safety Administration) Year Injuries, N (in thousands) 1991 3097 1992 3070 1993 3149 1994 3266 1995 3465 1996 3483 1997 3348 1998 3192 1999 3236 2000 3189 2001 3033 2002 2926 2003 2889 2004 2788 A model for the data is given by N(t ) 40.8189t2 - 500.059t + 2950.8 1 S t s 14 0.0157t2 - 0.192t + 1 where t represents the year, with t = 1 corresponding to 1991. (a) Use a graphing utility to create a scatter plot of the data and graph the model in the same viewing window. How do they compare? (b) Use the model to predict the numbers of injuries in 2006 and 2010. (c) Find the limit of the model as too and interpret its meaning in the context of the situation. (d) Can the model be used to predict the numbers of injuries for future years? Explain