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Concept explainers
Crude Oil The following table gives the U.S. crude oil production, in billions of barrels, for the years from 2010 projected to 2030.
a. Graph a
b. Find the power function that models the data, with x equal to the number of years after 2000 and y equal to the number of billions of barrels of crude oil.
c. Find the quadratic function that models the data, with x equal to the number of years after 2000 and y equal to the number of billions of barre crude oil.
d. Use the power model to predict the number of billions of barrels of crude oil in 2040.
e. Use the quadratic model to predict the number of billions of barrels of crude oil in 2040.
f. If the crude oil production begins to decrease after 2030, which model is the better fit for data?
Year | Billions of Barrels |
2010 | 1.94 |
2014 | 2.10 |
2018 | 2.16 |
2022 | 2.24 |
2026 | 2.26 |
2030 | 2.26 |
(Source: U.S. Energy Information Administration)
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Chapter 3 Solutions
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Does Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardTable 3 gives the annual sales (in millions of dollars) of a product from 1998 to 20006. What was the average rate of change of annual sales (a) between 2001 and 2002, and (b) between 2001 and 2004?arrow_forwardTable 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?arrow_forward
- The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forwardThe U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?arrow_forward
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