The amount of electricity y generated by geothermal

Chapter 4, Problem 4.4.37

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The amount of electricity y generated by geothermal sources (in billions of kilowatts) from 2000 to 2009 can be modeled by the linear equation y - 0.11x = 14.05, where x represents the number of years after 2000. Similarly, the amount of electricity y generated by wind power (in billions of kilowatts) during the same time period can be modeled by the linear equation 5.13x - y = 0.65. (Source: Based on data from Energy Information Administration, U.S. Department of Energy)a. The data used to form these two models were incomplete. Itis impossible to tell from the data the year in which the electricitygenerated by geothermal sources was the same as theelectricity generated by wind power. Use matrix methods toestimate the year in which this occurred.b. The earliest data for wind power was in 1989, where 2.1billion kilowatts of electricity was generated. Can thisdata be determined from the given equation? Why doyou think that is?c. According to these models, will the percent of electricitygenerated by geothermal ever go to zero? Why?d. Can you think of an explanation why the amount of electricitygenerated by wind power is increasing so muchfaster than the amount of electricity generated by geothermalpower?

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