Suppose you are in the market for a new home and were 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 avaliable, and that there are a total of 56 houses avaliable.Use x to represent floor plan#1 andy for floor plan #2 Write an equation that illustrates the situation?
b) The sales representive later indictes that there are 3 times as many homes avaliable with the second floor plan than first. Write an equation that illustrates this situation. Use same variables you used in part a.
c) Use the equation from part a and b of this exercise as as system of equations. Use substitution to determine how many of each type of floor plan is avaliable. Describe the steps you used to solve the problem?
d) What are the intercepts of 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?
2. As you are leaving the community, you noticed another new community just down the street. Because you are in the area, you decide to inquiry about it.
a) The sales represntative here tells you they also have two floor plans available. But they only have 38 homes avaliable. Write an equation that illustrates the situation? Use x and y to denote floor plan #1 and floor plan #2 respectively?
b) The representative tells you that plan #1 sells for $ 175,000 and plan # 2 sells for $ 2000,000. She also mentions that all the available houses combined are worth $ 7,200,000. Write an equation that illustrates this situation. Use same variables you used in part a
c) Use elimination to determine how many houses with each floor plan are avaiable? explain how you arrived at your answer?
3. You recently started the paperwork to purchase the 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 Lifters 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 get this answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at this answer?
c) For what values h (hours) does Quick Move offer the better deal? Express the answer as an inequality. Expalin how you got this answer.
Thanks for all the help you can give me on this.