
Concept explainers
a.
To find: A geometric sequence that models the data from 2004 through 2010.
a.

Answer to Problem 86E
Explanation of Solution
Given: The table shows the mid-year populations
Since
First we draw the graph using exponential regression.
Using exponential regression graphing utility the geometric sequence is
b.
To find: The rate of population of china is growing.
b.

Answer to Problem 86E
0.5%
Explanation of Solution
Given: The geometric sequence of the data is
The model of data,
Rate
Hence, the rate is 0.5% per year.
c.
To find: The population of china in 2017.
c.

Answer to Problem 86E
5.81 million
Explanation of Solution
Given: The geometric sequence of the data is
Since
Therefore, 2017 will
Put
Using geometric sequence model the population of China in 2017 will be 1377.91 million.
But the U.S. Census Bureau predicts the population of China will be 1372.1 million in 2017.
U.S. Census Bureau predicts lesser population as compare to model.
Difference
Hence, U.S. Census Bureau prediction is 5.81 million population lesser.
d.
To find: The year when population of china will be 1.4 billion.
d.

Answer to Problem 86E
2020 year
Explanation of Solution
Given: The geometric sequence of the data is
Since
The population of China will be 1.4 billion.
1 billion = 1000 million
Therefore, 1.4 billion = 1400 million
Put
Hence, the population of China will be 1.4 billion in 2020.
Chapter 9 Solutions
Precalculus with Limits
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