Energy use per dollar of GDP indexed to 1980 means that energy use for any year is viewed as a percent of the use per dollar of GDP in 1980. The following data show the energy use per dollar of GDP, as a percent, for selected years from 1985 and projected to 2035.

(a) Create a scatter plot of these data, with x equal to the number of years past 1980 and y equal to the energy use per dollar of GDP, as a percent.

(b) Find an exponential function that models these data, with x and y as in part (a).

(c) Graph the model and the data on the same axes.

(d) What does this model predict the energy use per dollar of GDP will be in 2040?

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Energy Use per Dollar of GDP Year Percent Year Percent 83 1985 2015 51 2020 1990 79 45 1995 75 2025 41 2000 67 2030 37 2035 2005 60 34 2010 56