Modeling Energy from crude oil The table shows the total energy supply from crude oil products, in quadrillion BTUs, for selected years from 2010 and projected to 2040.
(a) Find the cubic function that is the best model for the data. Use x as the number of years after 2010 and C(x) as the quadrillion BTUs of energy from crude oil products. Report the model with three significant digit coefficients.
(b) Find the critical values of the reported model.
(c) Find the reported model’s critical points and classify them.
(d) Do you think this model will be valid for years past 2040? Explain.
Total Energy Supply from Crude Oil Products (in quadrillion BTUs) | |||
Year | BTUs | Year | BTUs |
2010 | 11.6 | 2030 | 13.5 |
2015 | 15.6 | 2035 | 13.4 |
2020 | 16.0 | 2040 | 13.1 |
2025 | 14.5 |
Source: U.S. Energy Information Administration
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