To calculate the future population of Indonesia in 10 years at a growth rate of 1.2% per year, we can use the formula for exponential growth:
\[ P = P_0 (1 + r)^t \]
Where:
- \(P_0\) is the current population (250,000,000).
- \(r\) is the growth rate (1.2%, or 0.012 as a decimal).
- \(t\) is the number of years in the future (10 years).
Substituting the values into the formula:
\[ P = 250,000,000 \times (1 + 0.012)^{10} \]
Calculating:
- Calculate \(1 + 0.012 = 1.012\).
- Raise \(1.012\) to the power of \(10\):
\[ 1.012^{10} \approx 1.126825 \]
- Multiply by the current population:
\[ P \approx 250,000,000 \times 1.126825 \approx 281,706,250 \]
Rounding to the nearest million, the population will be approximately 282,000,000.
From the options you provided, the closest answer is 281,000,000.