WEEK 1 ASSIGNMENT: Solving Proportion
MAT222: Intermediate Algebra
Page 437 #56.)
To estimate the size of the bear population on the Keweenaw Peninsula, conservationist captured, tagged, and released 500 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?
In this problem we ...view middle of the document...
To solve we utilize the proportions formula. For this formula we use the total amount divided by the known tagged amount. Once we plug in the given amounts along with the “x” variable, we can begin to solve. First we cross multiply then finally we divide. The outcome is the total amount.
Page 444 #10.)
In this problem we have two fractional equations better known as a proportion. Next we cross using the extreme means property. The next step is to appropriately distribute on both sides. In order to solve for “y” we must move everything away from “y”. We start by subtracting, and then we divide. The final results are the equivalence of “y”.
Upon going back to the top of problem#10 to check to see whether the solution is correct. I was unable to obtain a clear defined solution due to the negative fraction. However it is also unclear as to whether the problem is extraneous. One observation I did make is that the solution for “y” is almost identical to the right side of the original equation.
Dugopolski, M. (2012). Elementary and Intermediate Algebra (4th Edition). New York, NY:
McGraw-Hill Publishing. Page 437 #56 and Page 444 #10.