The following table gives the total U.S. renewable electric power generation, in billions of kilowatt-hours, for selected years from 2012 and projected to 2040.

(a) Model these data with a power function P(t), where t is the number of years past 2000. Report the model with three significant digit coefficients.

(b) Use the reported model from part(a) to find the function that models the rate of change of U.S. renewable electric power generation.

(c) Use the result from part (b) to find and interpret the rate of change of U.S. renewable electric power generation in 2020.

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Renewable Electric Power Generation Kilowatt-hours (billions) Kilowatt-hours (billions) Year Year 2012 502 2028 730 2016 629 2032 764 2020 667 2036 800 2024 700 2040 851