Proportions

Feb 3rd, 2012
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Ashford University
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Provides an example of how real-life situations can be solved by applying and solving proportions.

Word Count: 696
Showing Page: 1/6
By gathering and then comparing the results from at least two experiments, conservationists can use proportions to determine the increase or decrease of animal populations in any given area. This weeks problem uses this method to estimate the size of the bear population on the Keweenaw Peninsula. One year after capturing, tagging and releasing 50 bears, conservationists captured a random sample of 100 bears. Only two of these bears were tagged from the first sample.The extremes-means property to solve proportions on page 432 explains that the product of the extremes is equal to the product of the means. After reading the Bear Population approach in #56 on page 437 (Dugolpolski, 2012), allows for the theory that the ratio of originally captured and tagged bears to the whole population is equal to the ratio of the tagged bears to the size of the random sample. A variable needs to be assigned to represent the whole population in order to determine the estimated answer.The ratio of originally tagged bears to the whole population is 50 x.The ratio of recaptured tagged bears to the sample size is 2 100.50 x = 2 100The proportion is established and is now ready to solve. Cross-multiplication is used to find the product of the extremes, 50 and 100, and the product of the means, x and 2. 50(100) = 2x5000 2 = 2x 2Now both sides are divided by 2, to isolate the variable.2500 = xThis is the estimated population of the bea

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