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For a research project on rodents, 4141 chipmunks were tagged and released. Later, researchers counted 320320 chipmunks in the area. Of the chipmunks they counted, 1616 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

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Q. For a research project on rodents, 4141 chipmunks were tagged and released. Later, researchers counted 320320 chipmunks in the area. Of the chipmunks they counted, 1616 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?
  1. Identify Proportion: Step 11: Identify the proportion of tagged chipmunks to the total counted chipmunks to estimate the total population.\newlineCalculation: Proportion of tagged to counted = 16 tagged320 counted\frac{16 \text{ tagged}}{320 \text{ counted}}.
  2. Estimate Population: Step 22: Use the proportion from Step 11 to estimate the total population based on the initial number of tagged chipmunks.\newlineCalculation: Total population estimate = (41 tagged16 counted)∗320 total counted(\frac{41 \text{ tagged}}{16 \text{ counted}}) * 320 \text{ total counted}.
  3. Calculate Total: Step 33: Calculate the estimated total population.\newlineCalculation: (4116)×320=820(\frac{41}{16}) \times 320 = 820.

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