Question

the population of afghanistan in 2016 was about 33.4 million. the population tends to increase by about 2% per year. what is the estimated population of afghanistan in 2030? enter your answer in the boxes. round your answer to the nearest tenth of a million.

Explanation:

Step1: Identify the formula for population growth

The population growth follows the exponential growth formula: \( P = P_0(1 + r)^t \), where \( P_0 \) is the initial population, \( r \) is the annual growth rate, and \( t \) is the time in years.
Here, \( P_0 = 33.4 \) million, \( r = 0.02 \) (2% as a decimal), and \( t = 2030 - 2016 = 14 \) years.

Step2: Substitute the values into the formula

Substitute \( P_0 = 33.4 \), \( r = 0.02 \), and \( t = 14 \) into the formula:
\( P = 33.4 \times (1 + 0.02)^{14} \)

Step3: Calculate \( (1 + 0.02)^{14} \)

First, calculate \( 1.02^{14} \). Using a calculator, \( 1.02^{14} \approx 1.31947895 \)

Step4: Multiply by the initial population

Multiply \( 33.4 \) by \( 1.31947895 \):
\( P \approx 33.4 \times 1.31947895 \approx 44.07 \)

Step5: Round to the nearest tenth of a million

Rounding \( 44.07 \) to the nearest tenth gives \( 44.1 \)

Answer:

44.1 million