# Rational Expressions and Equations

I could use some help with these problems, thanks!

1. After completing the fencing job from two weeks ago, the company sends you to construct some fencing near a river. Your client wants you to enclose a corral adjacent to a river as in the diagram below.

[see attachment]

a. Write an equation that represents the area of the enclosure.

b. If you solved for y, what would be the new equation?

c. If L stands for the length of the fence, in yards, write an equation that represents the length of fencing that you need.

d. If you substituted your equation from part b into your equation in part c, then L will result in a rational function. Express L as a rational function.

2. Which quadrant(s), when graphed, would not be appropriate to use for this problem? Justify your conclusion.

Fences R Us wants to replace their office's traditional computers and two-dimensional monitors with a virtual reality system. The fixed monthly cost will be $400,000, and it will cost $700 to produce each system.

1. Write the cost function, C, of producing x virtual reality systems.

2. Write the average cost function, A, of producing x virtual reality systems.

3. Find and interpret A(1000), A(10,000) and A(100,000).

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Rational Expressions & Equations

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Part 1

1. After completing the fencing job from two weeks ago, the company sends you to construct some fencing near a river. Your client wants you to enclose a corral adjacent to a river as in the diagram below.

a. Write an equation that represents the area of the enclosure.

The area is the length multiplied by the width. The length is x, the width is y, and the area is A = ...

Rational expression, Rational equation, Polynomial

A. Choose an example of a rational expression, and present a step by step solution.

B. Under what situation would one or more solutions of a rational equation be unacceptable?

C. Define a polynomial and a rational expression. What makes a rational expression unique? Provide two original examples of a rational expression and two that are not. Mix the expressions up and label them A. B. C. and D..

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