The world's population is 1970 was about 3.6 billion. If the population has increased at 2% each year since then, what will the world's population be in 2010?
To calculate the population in 2010, we use the formula for exponential growth:
Final Population = Initial Population * (1 + growth rate) ^ number of years
In this case, the Initial Population is 3.6 billion, the growth rate is 2% (0.02), and the number of years is 2010 - 1970 = 40 years.
Final Population = 3.6 billion * (1 + 0.02)^40
Final Population = 3.6 billion * (1.02)^40
Final Population = 3.6 billion * 2.208039
Final Population ≈ 7.94894 billion
So, the world's population in 2010 will be approximately 7.95 billion.
To find the world's population in 2010, we need to calculate the population growth for each year from 1970 to 2010 and then add it to the initial population in 1970.
Step 1: Calculate the annual population growth:
Annual growth rate = 2%
Population growth = Annual growth rate * Initial population
Population growth = 2% * 3.6 billion
Step 2: Calculate the population in 2010:
Population in 2010 = Initial population + Population growth * Number of years
Population in 2010 = 3.6 billion + (2% * 3.6 billion) * (2010 - 1970)
Let's calculate it step-by-step:
Step 1: Calculate the annual population growth:
Annual growth rate = 2%
Population growth = 2% * 3.6 billion
Population growth = 0.02 * 3.6 billion
Population growth = 72 million
Step 2: Calculate the population in 2010:
Population in 2010 = 3.6 billion + (72 million * 40)
Population in 2010 = 3.6 billion + 2.88 billion
Population in 2010 = 6.48 billion
Therefore, the world's population in 2010 would be approximately 6.48 billion.
To find the world's population in 2010 if it has been growing at a rate of 2% each year since 1970, we can follow these steps:
1. Start with the population in 1970, which is 3.6 billion.
2. Calculate the growth rate by multiplying the population by 2% (or 0.02) each year.
3. Calculate the population for each year from 1971 to 2010 using the formula: Population in a specific year = Population of the previous year + (Population of the previous year * Growth rate).
4. Finally, we need to determine the population in 2010.
Let's perform these calculations step by step:
Year 1970:
Population = 3.6 billion
Year 1971:
Population = 3.6 billion + (3.6 billion * 0.02)
= 3.6 billion + 72 million
= 3.672 billion
Year 1972:
Population = 3.672 billion + (3.672 billion * 0.02)
= 3.672 billion + 73.44 million
= 3.745 billion
Continue this calculation for each year until 2010.
Year 2010:
Population = Population in the previous year + (Population in the previous year * 0.02)
= Population in 2009 + (Population in 2009 * 0.02)
Therefore, to find the population in 2010, we need to perform a similar calculation to the previous years.
Using a calculator or spreadsheet software, we can calculate the population in 2010 by repeatedly applying the same formula for each year from 1971 to 2009, and then add the growth rate to the population in 2009.
Alternatively, we can use a programming language or online tool to write a simple code or equation to solve it.