The mid-year populations an of China (in millions) from 2007 through 2013 are given by

Chapter 9, Problem 108

(choose chapter or problem)

The mid-year populations \(a_{n}\) of China (in millions) from 2007 through 2013 are given by ordered pairs of the form (n, \(a_{n}\)), with n = 7 corresponding to 2007. (Spreadsheet at LarsonPrecalculus.com) (Source: U.S. Census Bureau)

(7, 1310.6) (8, 1317.1) (9, 1323.6) (10, 1330.1) (11, 1336.7) (12, 1343.2) (13, 1349.6)

(a) Use the exponential regression feature of a graphing utility to find a geometric sequence that models the data.

(b) Use the sequence from part (a) to describe the rate at which the population of China is growing.

(c) Use the sequence from part (a) to predict the population of China in 2018. The U.S. Census Bureau predicts that the population of China will be 1376.7 million in 2018. How does this value compare with your prediction?

(d) Use the sequence from part (a) to determine when the population of China will reach 1.40 billion.

Text Transcription:

a_n