To determine how many 500 gram hawks can be supported by 250,000,000 grams of producers in the prairie ecosystem, we can use the 10 percent rule.
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Identify the amount of energy available at each trophic level:
- Producers (grasses): 250,000,000 grams
- Primary consumers (mice): 10% of the producer biomass
- Secondary consumers (snakes): 10% of the primary consumers
- Tertiary consumers (hawks): 10% of the secondary consumers
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Calculate each level of consumers:
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Primary consumers (mice): \[ 10% \text{ of } 250,000,000 = 0.10 \times 250,000,000 = 25,000,000 \text{ grams} \]
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Secondary consumers (snakes): \[ 10% \text{ of } 25,000,000 = 0.10 \times 25,000,000 = 2,500,000 \text{ grams} \]
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Tertiary consumers (hawks): \[ 10% \text{ of } 2,500,000 = 0.10 \times 2,500,000 = 250,000 \text{ grams} \]
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Calculate the number of 500 gram hawks: \[ \text{Number of hawks} = \frac{250,000 \text{ grams}}{500 \text{ grams/hawk}} = 500 \]
Therefore, the number of 500-gram hawks that can be supported by 250,000,000 grams of producers is 500.