CSU - Dominguez hills
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Date Created: 11/16/15
Axia College Material 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 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 56 houses available Use xto represent floor plan 1 and yto represent floor plan 2 Write an equation that illustrates the situation Xy56 b The sales representative later indicates that there are 3 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 y3x 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 x 3x 56 Substitute equation b into a 4x 56 X 56 4 X 14 y 314 y42 14 houses with plan 1 and 42 houses with plan 2 d What are the intercepts of the equation from part a of this problem What are the intercepts from part b of this problem Where would the lines intersect if you solved the system by graphing y 56 x 56 X0 MAT 116 X 56 x 56 x intercept Part b y3x Intercepts from a 056 and 560 intercepts from b are 00 It graphed the two lines would intersect at 1442 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 38 homes available Write an equation that illustrates the situation Use xand yto denote floor plan 1 and floor plan 2 respectively x y 38 y 38x b The representative tells you that floor plan 1 sells for 175000 and floor plan 2 sells for 200000 She also mentions that all the available houses combined are worth 7200000 Write an equation that illustrates this situation Use the same variables you used in part a 175000x 200000y 7200000 0 Use elimination to determine how many houses with each floor plan are available Explain how you arrived at your answer 175000x 200000 38x 7200000 175000x 7600000 200000x 7200000 175000x 200000x 7200000 7600000 25000x 400000 X 16 3816 22 16 houses for 175 000 22 houses for 200000 3 You recently started the paperwork to purchase your new home and you were just notified that you can move into the house in 2 weeks You decide to hire a moving company but are unsure which company to choose You search online and are interested in contacting two companies Heavy Lifters and Quick Move to discuss their rates Heavy Lifting charges an 80 fee plus 35 per hour Quick Move charges 55 per hour with no additional fees a Which mover provides a better deal for 2 hours of work How did you arrive at your answer HL 2 35 30 150 GM 2 55 110 Better deal MAT 116 b Which mover provides a better deal for 15 hours of work How did you arrive at your answer HL 15 35 80 605 better deal QM 1555 825 c For what values h hours does Quick Move offer the better deal Express your answer as an inequality Explain how you reached your answer 55hlt35h80 55h 35hlt80 20hlt80 H80 Hlt4hr MAT 116
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