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Lee is a biologist who studies hummingbirds. In order to estimate the number of hummingbirds in the area, he catches $79$ hummingbirds and tags them. Later, he catches $440$ hummingbirds and finds that $44$ 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 proportions

Full solution

Q. Lee is a biologist who studies hummingbirds. In order to estimate the number of hummingbirds in the area, he catches

79

hummingbirds and tags them. Later, he catches

440

hummingbirds and finds that

44

of them are tagged. To the nearest whole number, what is the best estimate for the hummingbird population?

Set up proportion: Step $1$ : Set up the proportion based on the capture-recapture method.
Solve proportion: Step $2$ : Solve the proportion by cross-multiplying to find $p$ , the estimated total population.
Isolate and solve: Step $3$ : Divide both sides by $44$ to isolate $p$ and solve for the estimated population.

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