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7 November, 04:50

In another project, researchers caught and tagged 85 sea lions in a bay. Later they caught and released 50 sea lions. Of those, 9 had tags. Estimate the sea lion population in the bay. about 529 sea lions about 472 sea lions about 194 sea lions about 153 sea lions

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  1. 7 November, 04:56
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    The correct answer is about 472 sea lions.

    We can set up a proportion to solve this. 9 lions were tagged out of a sample of 50. This gives us the ratio 9/50 for the first part of the proportion.

    For the second ratio, we know 85 lions were tagged out of an unknown population; this gives us 85/x.

    Our proportion is

    9/50 = 85/x

    Cross multiply:

    9*x = 50*85

    9x = 4250

    Divide both sides by 9:

    9x/9 = 4250/9

    x = 472.222

    To the nearest whole number, this is 472 sea lions.
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