Question: The U.S. Energy Information Administration has used recent consumption data to project the energy consumption (in quadrillion, or 1015, Btu) for the United States, China,

The U.S. Energy Information Administration has used recent consumption data to project the energy consumption (in quadrillion, or 1015, Btu) for the United States, China, and India until 2040. The following graph illustrates these data.

Energy consumption (quadrilion Btu) History 2008 Projections 200 150 100 50 0

(a) Let U(t) represent the energy consumption of the United States for year t. What is the independent variable? What is the dependent variable?
(b) Let I(t) represent the energy consumption of India for year t. What is the domain of the function? Estimate the range of the function.
(c) Let C(t) represent the energy consumption of China for year t. Is C(t) a linear function?
(d) Estimate the energy consumption in 2025 for the United States. Repeat for China and India.

(e) In what year will China first consume 170 quadrillion Btu?
(f) In what year did the energy consumption of China equal the energy consumption of the United States?

Energy consumption (quadrilion Btu) History 2008 Projections 200 150 100 50 0 2005 2010 2015 2020 2025 2030 2035 2040 Year China United States India

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