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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

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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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