The table shows U.S. gross domestic product (GDP) in billions of dollars for selected years from 2000 to 2070 (actual and projected).

(a) Model these data with a cubic function g = g(t), where g is in billions of dollars and t represents the number of years past 2000. Report the model with three significant digit coefficients.
(b) Use the reported model to find the predicted instantaneous rate of change of the GDP in 2025.
(c) Interpret your answer to part (b).

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GDP Year Year GDP 9143 79,680 103,444 2000 2040 2045 2005 12,145 2050 2010 16,174 21,270 27,683 133,925 173,175 224,044 290,042 2015 2055 2020 2060 2025 35,919 46,765 61,100 2065 2030 2070 375,219 2035