Question

A country currently has a population of 150 million and an annual growth rate of 2.5%. If the growth rate remains constant, after 84 years, the population will be approximately: A. 150 million B. 275 million C. 560 million D. 1200 million E. 3000 million

Answer 1

Using the formula for exponential growth, in 84 years the population of a country, that currently has 150 million inhabitants and a 2.5% annual growth rate, would grow to approximately 1088 million or 1.1 billion. The closest answer option given is (D) 1200 million.

Step-by-step explanation:

This question refers to the concept of exponential growth. To find out what the population will be in 84 years, you would use the formula for exponential growth, which states that the final population (or P_final) equals the initial population (or P_initial) times (1 + the growth rate) raised to the power of the number of years of growth. Here, the initial population (P_initial) is 150 million, the growth rate is 2.5% (or 0.025 in decimal form), and the number of years is 84. Substituting these values into the formula gives:

P_final = P_initial *(1 + growth rate)^years

P_final = 150 million * (1 + 0.025)^84 = 1088 million or approximately 1.1 billion

From the given options, the closest is (D) 1200 million.

Learn more about exponential growth