To find the number of bacteria in a sample weighing 2525 grams, we can set up a proportion based on the initial data provided:
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You have \( 2.5 \times 10^6 \) bacteria in a 11-gram sample.
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To find the number of bacteria per gram: \[ \text{Bacteria per gram} = \frac{2.5 \times 10^6 \text{ bacteria}}{11 \text{ grams}} \approx 2.273 \times 10^5 \text{ bacteria/gram} \quad (\text{using scientific notation}) \]
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Now, to find the total number of bacteria in 2525 grams: \[ \text{Total bacteria} = 2.273 \times 10^5 \text{ bacteria/gram} \times 2525 \text{ grams} \]
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Calculate that: \[ 2.273 \times 10^5 \times 2525 = 5.732425 \times 10^8 \text{ bacteria} \]
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Converting \( 5.732425 \times 10^8 \) to scientific notation: \[ 5.732425 \approx 5.73 \quad \Rightarrow \quad 5.73 \times 10^8 \]
So, the total number of bacteria in a 2525-gram sample is approximately \( 5.73 \times 10^8 \) bacteria.
Final Answer: \( 5.73 \times 10^8 \) bacteria in a 2525-gram sample.