Cubic functions can be used to model real world data. The data below will be modeled with a cubic function.
| The Problem |
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The data in the following table list natural gas consumption ( in quadrillion BTU) in the United States. Estimate the natural gas consumption in 1982. |
Natural Gas Consumption
|
Year |
1960 |
1970 |
1980 |
1990 |
1997 |
| Consumption |
12.4 |
21.8 |
20.4 |
19.3 |
22.6 |
Source: US Department of Energy
a). Find a polynomial
function of degree 3 that models the data.
b). Graph f and the data together.
c). Estimate the natural gas consumption in 1982.
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