Question: Social Science. Data from the National Highway Traffic Safety Administration indicate that in year \(t\), the approximate percentage of people in the United States who wear seat belts when driving is given by

\[g(t)=\frac{76.13}{1+10.1 e^{-3167 t}} \quad(3 \leq t \leq 18)\]

where \(t=0\) corresponds to 1980. What percentage used seat belts in

1. 1992 ;
2. 1994 ;
3. 1998 ?
   Assuming this function is accurate after 1998, what percentage of people used seat belts in
4. 2000 ;
5. 2002 ;
6. $2003 ?
7. Graph the function. In California, seat belt usage was \(87 \%\) in the late \(1990 \mathrm{~s}\). Does the graph suggest that this will happen nationwide in the near future?

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