High School

If a country has a population of 8.4 million in 2018 and a growth rate \( r = 2.27\% \), what is the closest population it will be in 2050?

a) 14.5 million
b) 26.8 million
c) 35.9 million
d) 48.4 million

Answer :

Final answer:

To calculate the population in 2050, you can use the exponential growth formula P = P0 * e^(r*t). Using the given population and growth rate, the closest estimate for the country in 2050 is 35.9 million (c).

Explanation:

To calculate the population in 2050, we can use the formula for exponential growth:
P = P0 * e^(r*t)

Where P is the population at a given time, P0 is the initial population, r is the annual growth rate, and t is the number of years.

  1. Given that the initial population (P0) in 2018 is 8.4 million and the growth rate (r) is 2.27, we need to find the population in 2050 (t = 2050 - 2018 = 32 years).
  2. Plugging in the values into the formula:
    P = 8.4 * e^(2.27 * 32)
  3. Using a calculator or software, we can evaluate the exponential function:

P ≈ 35.9 million

Therefore, the closest population estimate for the country in 2050 is 35.9 million (c).

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