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Lee is a biologist who studies hummingbirds. In order to estimate the number of hummingbirds in the area, he catches 7979 hummingbirds and tags them. Later, he catches 440440 hummingbirds and finds that 4444 of them are tagged. To the nearest whole number, what is the best estimate for the hummingbird population?

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Estimate population size using proportionsright chevron icon

Full solution

Q. Lee is a biologist who studies hummingbirds. In order to estimate the number of hummingbirds in the area, he catches 7979 hummingbirds and tags them. Later, he catches 440440 hummingbirds and finds that 4444 of them are tagged. To the nearest whole number, what is the best estimate for the hummingbird population?
  1. Set up proportion: Step 11: Set up the proportion based on the capture-recapture method.
  2. Solve proportion: Step 22: Solve the proportion by cross-multiplying to find pp, the estimated total population.
  3. Isolate and solve: Step 33: Divide both sides by 4444 to isolate pp and solve for the estimated population.

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