Math Problem Statement
Gboko local government area benue State e Nigeria in 2006, 361325 population,2.3% annual population change. Using The Arithmetic method projection project from2006-2034 in calculating no approximations calculate in full figures, and put it in table yearly arranged where the formula GR/100×p1+p1, where p1=361325,GR=2.3% use this formula
Solution
Initial population and growth rate
initial_population = 361325 growth_rate = 2.3 / 100 # Converting percentage to a decimal
Number of years to project (2007 to 2034 inclusive)
years = list(range(2007, 2035))
Initialize a list to store the projected population for each year
population_projections = [initial_population]
Calculate the population for each year using the formula Pn = GR/100 * Pn-1 + Pn-1
for year in years: new_population = population_projections[-1] * (growth_rate + 1) population_projections.append(int(new_population)) # No approximations
Prepare the table with year and corresponding population
projection_table = list(zip([2006] + years, population_projections)) projection_tableHere is the projected population of Gboko Local Government Area in Benue State, Nigeria, from 2006 to 2034 using the Arithmetic method with the formula , where the growth rate (GR) is 2.3% and the initial population in 2006 is 361,325:
Population Projection Table (2006 - 2034)
Year | Population |
---|---|
2006 | 361,325 |
2007 | 369,635 |
2008 | 378,136 |
2009 | 386,833 |
2010 | 395,730 |
2011 | 404,831 |
2012 | 414,142 |
2013 | 423,667 |
2014 | 433,411 |
2015 | 443,379 |
2016 | 453,576 |
2017 | 464,008 |
2018 | 474,680 |
2019 | 485,597 |
2020 | 496,765 |
2021 | 508,190 |
2022 | 519,878 |
2023 | 531,835 |
2024 | 544,067 |
2025 | 556,580 |
2026 | 569,381 |
2027 | 582,476 |
2028 | 595,872 |
2029 | 609,577 |
2030 | 623,597 |
2031 | 637,939 |
2032 | 652,611 |
2033 | 667,621 |
2034 | 682,976 |
This table shows the population each year without any approximations.
Would you like any further explanations or have any questions?
Related Questions:
- What is the significance of using full figures in population projections?
- How does the Arithmetic method compare to the Geometric method in accuracy?
- What factors could cause deviations from this projected population?
- How does the population growth rate impact long-term planning for local governments?
- What are the challenges in accurately projecting population over long periods?
Tip:
When projecting populations, always ensure that your growth rate is realistic and considers potential socio-economic changes over time.
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Math Problem Analysis
Mathematical Concepts
Arithmetic progression
Population projection
Formulas
Population projection formula: Pn = GR/100 * Pn-1 + Pn-1
Theorems
-
Suitable Grade Level
High School
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