Chapter 4.1, Problem 49E

GDP Use the following information to answer Exercises 47–50. The gross domestic product (GDP; in tens of trillions of U.S. dollars) for China and the United States can be approximated as follows:

$\begin{array}{l}China:f\left(x\right)=.00011{\left(1.102\right)}^x,\\ UnitedStates:g\left(x\right)=.0132{\left(1.067\right)}^x,\end{array}$

where $x=60$ corresponds to the year 1960. (Data from: www.worldbank.org.)

If the trend continues, what is the first full year in which China’s GDP surpasses $25 trillion?