SOLUTION: I need to know how to write the rational expression to the following question. I have the answer but cannot show how I got it. The answer should be 5000 bears? To estimate t

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Question 304727: I need to know how to write the rational expression to the following question. I have the answer but cannot show how I got it. The answer should be 5000 bears?
To estimate the size of the bear population on the Keeweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population?

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
Captured, tagged, and released 50 bears.
Next year random sample of 100 bears included only two tagged bears.

I think the answer should be 2500.

Basically, you set up a ratio.

2 is to 100 as 50 is to x.

Your equation becomes:



You cross multiply to get:



You divide both sides of this equation by 2 to get:













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