MAT116Week8AppendixF - Axia College Material Appendix F...

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Appendix F 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 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. 1. Imagine 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 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation. Let x represent the number of houses on the first floor. Let y represent the number of houses on the second floor. Based on the information given, we know that there are 56 houses available, therefore, the first equation would be: x+y=56 b. The sales representative later indicates that there are three 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. Based on the information given, we know that there are three times as many houses available with the second floor than the first floor. Therefore, our second equation would be: y=3x c. Use the equations from Parts 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. From part a and part b we have a system of equations:
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MAT116Week8AppendixF - Axia College Material Appendix F...

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