The world population in the year 1960 was 3 billion, consider the growth rate of 1.5 %. The world population in the year 2022 is expected to be
Question
The world population in the year 1960 was 3 billion, consider the growth rate of 1.5 %. The world population in the year 2022 is expected to be
Solution
To calculate the expected world population in the year 2022, we need to use the formula for exponential growth, which is:
P = P0 * (1 + r)^t
where: P is the future population, P0 is the initial population, r is the growth rate, and t is the time in years.
Given: P0 = 3 billion (the population in 1960), r = 1.5% = 0.015 (the growth rate), and t = 2022 - 1960 = 62 years (the time from 1960 to 2022).
Substituting these values into the formula, we get:
P = 3 * (1 + 0.015)^62
Now, calculate the value inside the parentheses:
1 + 0.015 = 1.015
Then, raise this result to the power of 62:
1.015^62 ≈ 2.692
Finally, multiply this result by the initial population:
P = 3 * 2.692 ≈ 8.076 billion
So, the expected world population in the year 2022 is approximately 8.076 billion.
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