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Caden is a bird enthusiast and is trying to estimate the number of hawks living in his region. He traps $23$ hawks and tags them. Later, he traps $420$ hawks, $14$ of which are tagged. To the nearest whole number, what is the best estimate for the hawk population?

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Estimate population size using proportions

Full solution

Q. Caden is a bird enthusiast and is trying to estimate the number of hawks living in his region. He traps

23

hawks and tags them. Later, he traps

420

hawks,

14

of which are tagged. To the nearest whole number, what is the best estimate for the hawk 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 $H$ .
Isolate and solve: Step $3$ : Divide both sides by $14$ to isolate $H$ and solve for the estimated population.

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