Economic growth of China: This is a continuation . The economy of China is smaller than that of the United States but is growing more quickly. Here is a projection for the GDP of China: In this...

Economic growth of China: This is a continuation . The economy of China is smaller than that of the United States but is growing more quickly. Here is a projection for the GDP of China:

In this projection t is the number of years since 2005 and C is the GDP of China, measured in trillions of U.S. dollars.

a. Compare the precentage growth rates for the GDP of the United States and China.

b. Find the year when the GDP of China will overtake the U.S. GDP. Note: Exercises 21 and 22 are concerned with the exponential growth rate, which is a measure of the intrinsic per capita growth rate of a population in a given environment. If we are given data for a population growing exponentially, we can estimate the exponential growth rate as the slope of the regression line for the natural logarithm of the data. The exponential growth rate is denoted by r.