# algebra 68

S o l v i n g  P r o p o r t i o n s

Read the following instructions to complete this assignment:

1. Solve problem 56. Set up the two ratios and write your equation, choosing an appropriate variable for the bear population.

Problem 56:
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?
2. Complete problem 10.

Problem 10: (attached)

Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide (attached). Format your math work as shown in the example (attached), and be concise in your reasoning. In the body of your essay, do the following:

• Set up the proportion for problem 56.

• Demonstrate your solutions to problem 56  and to problem 10, making sure to include all mathematical work and an explanation for each step.

• Identify the form of equation you end up with in problem 10, and explain the relationship between the final coefficient of x compared to the original problem.

• Incorporate the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.)
• Extraneous
• Proportion
• Cross multiply
• Extreme-means