Years to live, 2013 Insurance companies and other organizations use actuarial tables to estimate the remaining lifespans of their customers. On the next page are the estimated additional years of life for black males in the United States, according to a 2013 National Vital Statistics Report.

a) Find a re-expression to create an appropriate model.

b) Predict the remaining lifespan of an 18-year-old black man.

c) Are you satisfied that your model has accounted for the relationship between Years Left and Age? Explain.

\begin{tabular}{|l|llllllllll|} \hline Age & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 & 100 \\ Years Left & 63.2 & 53.6 & 44.5 & 35.5 & 26.8 & 19.3 & 13.1 & 7.9 & 4.4 & 2.5 \\ \hline \end{tabular}