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- A soil scientist is analyzing a plot of land where the nitrogen content is crucial for crop growth. The current nitrogen level is 15 parts per million (ppm). To optimize crop yield, the target is 25 ppm. If adding 1 kg of nitrogen fertilizer increases the nitrogen content by 0.5 ppm per 1000 square meters, how many kilograms of fertilizer are needed for a 5000 square meter plot?
- Determine the required increase in nitrogen:
- \( 25 \, ext{ppm} - 15 \, ext{ppm} = 10 \, ext{ppm} \)
- \( 10 \, ext{ppm} \div 0.5 \, ext{ppm per kg} = 20 \, ext{kg per 1,000 square meters} \)
- Scale up for 5,000 square meters:
- \( 20 \, ext{kg} imes 5 = 100 \, ext{kg