Question

The world population in 2005 was 6.2 billion and growing at the rate of 1.14%. find the year when the world population would be expected to reach 10 billion if the growth continues at the same exponential rate?

Options:
A) 2030
B) 2032
C) 2034
D) 2036

Answer 1

To find the year when the world population is expected to reach 10 billion, use the exponential growth formula and solve for time. The year is approximately 2029.

Step-by-step explanation:

To find the year when the world population is expected to reach 10 billion, we can use the exponential growth formula:

Population = Initial population * e^(growth rate * time)

Given that the initial population in 2005 was 6.2 billion, the growth rate is 1.14% (or 0.0114), and we want to solve for the time, we can rearrange the formula as:

10 billion = 6.2 billion * e^(0.0114 * time)

To solve for time, we need to take the natural logarithm (ln) of both sides:

ln(10 billion) = ln(6.2 billion) + 0.0114 * time

Using a calculator, we can solve for time:

time ≈ (ln(10 billion) - ln(6.2 billion)) / 0.0114

Calculating this equation, we find that the approximate value of time is 24.06 years. Therefore, the year when the world population is expected to reach 10 billion would be 2005 + 24, which is 2029.