SOLUTION: Scientists use models to project population in the future. While these models have limitations, they help leaders plan ahead for the resources people will need. The U.S. Census Bur

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Question 1131243: Scientists use models to project population in the future. While these models have limitations, they help leaders plan ahead for the resources people will need. The U.S. Census Bureau estimated the 2014 world population to be about 7.2 billion people.They estimated the world population growth rate in 2014 to be about 1.075%
This is an exponential situation because the population is increasing each year by a percentage of the previous year. Complete the table below based on the growth rate of 1.075%
Fill in the table.
Year Number of Years after 2014 Projected Population
2014 0 7.2 billion
2015 1 ____ billion
2016 2 ____ billion
2017 3 ____ billion
Write an exponential equation for the world population growth after 2014. Let P= the projected population in billions and t= the number of years after 2014. Hint: Think about how you calculated the entries in the table. If you started with 7.2 billion each time, how could you calculate each population?
Use your model to predict the population in 2026.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The yearly growth rate is 1.075% = .01075; the yearly growth factor is 1+.01075 = 1.01075.

Projected population for the first few years after 2014:

2015: to 4 decimal places

2016:
2017:

The projected population t years after 2014 is

P(t) = 7.2(1.01075)^t

The projected population in 2026 is

P(12) = 7.2(1.01075^12) = 8.1857 billion.

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