(c) Predict the number of high school graduates (in thousands) in2006if the trend continues. (Round your answer to the nearest whole number.)

The following table gives the total number, in thousands, of high school graduates in various years since 1900. Year 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2005 311 667 1,221 1,200 2,889 3,043 2,586 2,839 3,002 (a) What degree polynomial would be a good model to fit these values? f\"; degree 1 C7 degree 2 0 degree 3 J (b) Let t be the number of years since 1900. Determine the polynomial function of the degree that you decided was appropriate in part (a) to model the number of high school graduates as a function of time t. (Let 9 represent the number of high school graduates, in thousands. Round your coefcients to ve decimal places.) g = 0.00838t3 + 1.24883t2 12.96211t + 128.56137 v (c) Predict the number of high school graduates (in thousands) in 2006 if the trend continues. (Round your answer to the nearest whole number.) 2,774 x thousand graduates