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August 27, 2014

Homework Help: Alegbra 116 Help Please

Posted by Sydney on Wednesday, September 8, 2010 at 5:55am.

Buying a Home

For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment.

Application Practice

After putting your name on this document, above, answer the following questions. SHOW YOUR WORK FOR FULL CREDIT. 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.

1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 24 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation. (2 pts.)

b) The sales representative later indicates that there are 2 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. (2 pts.)

c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem. (2 pts.)


2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.

a) The sales representative here tells you they also have two floor plans available, but they only have 12 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively. (3 pts.)

b) The representative tells you that floor plan #1 sells for $300,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $3,300,000. Write an equation that illustrates this situation. Use the same variables you used in part a. (3 pts.)

c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer. (3 pts.)

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