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Math Help - Direct Variation Word Problem

  1. #1
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    Direct Variation Word Problem

    To estimate the number of flamingos in the Lake Manyara flock, the Kenyan Wildlife Service banded 600 birds. At a later time, they caught 1000 birds and found that 48 were banded. About how large is the entire flock?

    I have no clue how to approach this problem. How do I identify x and y?? What's the setup of the equation?? Please Help!! Thanks!
    Last edited by EyesThatSparkle02; March 10th 2009 at 08:59 PM.
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  2. #2
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    Quote Originally Posted by EyesThatSparkle02 View Post
    To estimate the number of flamingos in the Lake Manyara flock, the Kenyan Wildlife Service banded 600 birds. At a later time, they caught 1000 birds and found that 48 were banded. About how large is the entire flock?

    I have no clue how to approach this problem. How do I identify x and y?? What's the setup of the equation?? Please Help!! Thanks!
    Let N be the size of the entire flock. Solve for N:

    \frac{600}{N} = \frac{48}{1000}.

    If you'd posted in the Probability and Statistics subforum with a title like "Find the Best Estimate" I'd probably give a justification as to why (after making some assumptions) equating the ratios leads to the best estimate.
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