MAT 222 Intermediate Algebra

Professor Sekar

10/13/2013

Solving Proportions

In everyday life there is somebody using proportions to figure out something that they need. Proportions are used in the real world when there is someone baking a certain thing that requires recipes with the use of faction in determining how much of what ingredient goes with the amount of the item that is being baked. I use proportions when I go to the grocery store and I am picking up fruit and wanting to know if 3 pounds of plums cost 6.00, how much it would be if I got 6 pounds. I was also thinking of moving to another country and the currency is different from where I live now so I use proportions to find out how much my money would be worth in that country. In this real world example I am asked to find out the conservationist's estimate of the size of the bear population if they captured, tagged, and released 50 bears and one year later, a random sample of 100 bears included only 2 tagged bears (Dugolpolski, 2012).

To find out the estimate of the size of the bear population if they captured, tagged, and released 50 bears and one year later, a random sample of 100 bears included only 2 tagged bears, I will be using and defining variables and applying the rules to solve proportions. The numbers I will say that 50 bears were tagged, 100 bears were sampled and 2 of 100 were found tagged.

I will be using the ratio x/100 with x being the estimated number of bears and 100 is the number of bears that were in the random sample one year later.

I will also be using the ratio showing the number of bears if they were captured, tagged, and released to be 50/2. The 2 comes from the random sample which only included 2 tagged bears.

x/100=50/2 I have set my proportion up so I can now solve it. I will cross multiply because it is required when a proportion is being solved.

100(50) =2x I see that the extremes are 100 and 50 and the means are 2 and the variable...