Methane Gas Emissions The table gives methane gas emissions from all sources in the United States, in millions of metric tons. The quadratic model
y = 1.493x2 + 7.279x + 684.4
approximates the emissions for these years. In the model, x represents the number of years since 2004, so x = 0 represents 2004, x = 1 represents 2005, and so on.
(a) According to the model, what would be the emissions in 2010? Round to the nearest tenth of a million metric tons.
(b) Find the year beyond 2004 for which this model predicts that the emissions reached 700 million metric tons.
| Year | Millions of MetricTons of Methane |
| 2004 | 686.6 |
| 2005 | 691.8 |
| 2006 | 706.3 |
| 2,007 | 722.7 |
| 2,008 | 737.4 |
Source: U.S. Energy Information Administration
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