# bears

Topics: Elementary arithmetic, Sampling, Ratio Pages: 4 (448 words) Published: June 1, 2014
﻿The Bear population on Keweenaw Peninsula
Shornora Miller
Instructor Giles
May 25, 2014
Instructor:  Sharon Giles
Instructor:  Sharon Giles

The Bear population on Keweenaw Peninsula
Bear population. To estimate the size of the bear population on the Keweenaw 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? To estimate the size of the bear population on the Keweenaw 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? Let "x" be the number in the population. Real population / sample caught = released population / sample caught. x/100=50/2

x=2500 bears
Tagged by conservationists = 50 bears which represented an estimated 2% of the population = the ratio of originally tagged bears to the whole population is 550/.02=2500 total bear population. So the finally answer that we come up with is 2500. Below are the steps that I took to come out with my final answer. So for every 2 bears that are tagged leave 98 bears that are untagged so we know that only 2/100 bears is tagged this is two percent  so we end up with the equation 2/100 = 50/x

to reduce we want to get the bottom number off each side so we first multiply both sides by 100 then we are left with  2 = 5000/x

Now in this step I will multiply both sides by x so the other denominator is gone then we get the equation  2x = 5000
now we want x to be by itself so we know how many bears there are  so in this step I am going to divide both sides by 2 so x is by itself  which come out to x= 2500
so in order to recheck my work to make sure that my answer is right 2/100 bears were tagged we had a total of 50 tagged bears
so 50/2500...