# Proportions

Feb 3rd, 2012
Studypool Tutor
Ashford University
Price: \$5 USD

Tutor description

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

## Review from student

Studypool Student
" excellent work as always thanks for the help "

1824 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors