A rural area has 150 km of roads. The government plans to increase this by 20 % each year for 3 years. How many kilometers of roads will the area have after 3 years? Round to nearest whole number.
Answer
259
The correct answer is 259 — Round (259.2) to nearest whole number: (259) km.
Step-by-step solution
- Compute the yearly growth factor: (1 + 0.20 = 1.20).
- After 1 year: (150 \times 1.20 = 180) km.
- After 2 years: (180 \times 1.20 = 216) km.
- After 3 years: (216 \times 1.20 = 259.2) km.
- Round (259.2) to nearest whole number: (259) km.
Common mistake: Adding 20 % only once instead of compounding each year
Concept tested: Transport infrastructure growth
Published · How this solution was prepared and checked
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