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Calculate population of 2030 using the following data, by arithmetic increase method: Year - Population 1980 - 25000 1990 - 34000 2000 - 42000 2010 - 49000 2020 - 55000 (a) 82500 (b) 65000 (c) 62500 (d)60500 Correct option is 'c'. Can any one explain?
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Calculate population of 2030 using the following data, by arithmetic i...
Arithmetic Increase Method
The arithmetic increase method is a mathematical technique used to calculate the population in a given year based on the population data from previous years. It assumes that the population increases at a constant rate over time.
To find the population of 2030 using the arithmetic increase method, we need to calculate the average increase in population per year and then apply it to the data.
Calculating Average Increase
To calculate the average increase in population per year, we need to find the difference in population between each year and divide it by the number of years between them. Let's calculate this for the given data:
- Between 1980 and 1990: (34000 - 25000) / 10 = 9000 / 10 = 900
- Between 1990 and 2000: (42000 - 34000) / 10 = 8000 / 10 = 800
- Between 2000 and 2010: (49000 - 42000) / 10 = 7000 / 10 = 700
- Between 2010 and 2020: (55000 - 49000) / 10 = 6000 / 10 = 600
Now, let's find the average increase per year:
(900 + 800 + 700 + 600) / 4 = 3000 / 4 = 750
The average increase in population per year is 750.
Calculating Population in 2030
To calculate the population in 2030, we need to find the difference in years between 2020 and 2030, which is 10 years. We can then multiply this by the average increase per year and add it to the population in 2020.
Population in 2030 = Population in 2020 + (Average Increase per Year * Number of Years)
= 55000 + (750 * 10)
= 55000 + 7500
= 62500
Therefore, the population in 2030 using the arithmetic increase method is 62500.
The correct option is 'c'.
The arithmetic increase method is a mathematical technique used to calculate the population in a given year based on the population data from previous years. It assumes that the population increases at a constant rate over time.
To find the population of 2030 using the arithmetic increase method, we need to calculate the average increase in population per year and then apply it to the data.
Calculating Average Increase
To calculate the average increase in population per year, we need to find the difference in population between each year and divide it by the number of years between them. Let's calculate this for the given data:
- Between 1980 and 1990: (34000 - 25000) / 10 = 9000 / 10 = 900
- Between 1990 and 2000: (42000 - 34000) / 10 = 8000 / 10 = 800
- Between 2000 and 2010: (49000 - 42000) / 10 = 7000 / 10 = 700
- Between 2010 and 2020: (55000 - 49000) / 10 = 6000 / 10 = 600
Now, let's find the average increase per year:
(900 + 800 + 700 + 600) / 4 = 3000 / 4 = 750
The average increase in population per year is 750.
Calculating Population in 2030
To calculate the population in 2030, we need to find the difference in years between 2020 and 2030, which is 10 years. We can then multiply this by the average increase per year and add it to the population in 2020.
Population in 2030 = Population in 2020 + (Average Increase per Year * Number of Years)
= 55000 + (750 * 10)
= 55000 + 7500
= 62500
Therefore, the population in 2030 using the arithmetic increase method is 62500.
The correct option is 'c'.
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Calculate population of 2030 using the following data, by arithmetic increase method: Year - Population 1980 - 25000 1990 - 34000 2000 - 42000 2010 - 49000 2020 - 55000 (a) 82500 (b) 65000 (c) 62500 (d)60500 Correct option is 'c'. Can any one explain?
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Calculate population of 2030 using the following data, by arithmetic increase method: Year - Population 1980 - 25000 1990 - 34000 2000 - 42000 2010 - 49000 2020 - 55000 (a) 82500 (b) 65000 (c) 62500 (d)60500 Correct option is 'c'. Can any one explain? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Calculate population of 2030 using the following data, by arithmetic increase method: Year - Population 1980 - 25000 1990 - 34000 2000 - 42000 2010 - 49000 2020 - 55000 (a) 82500 (b) 65000 (c) 62500 (d)60500 Correct option is 'c'. Can any one explain? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate population of 2030 using the following data, by arithmetic increase method: Year - Population 1980 - 25000 1990 - 34000 2000 - 42000 2010 - 49000 2020 - 55000 (a) 82500 (b) 65000 (c) 62500 (d)60500 Correct option is 'c'. Can any one explain?.
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