MAT/116 – Week 8 Real World1260 1155 1050 Grade Scale (Number Correct)987654454035302520 315 210 15 Complete this project to apply the skills learned in Chapter 8 and Chapter 9 to a real-life situationThis document is copy-protected. Please answer the following questions in a Word document (.doc or .docx) attachment statingyour name, problem number, and answers. You may show work if you choose.You are required to use Equation Editor, if necessary, to write mathematical expressions and equations (such as fractions, squareroots, etc.).Submit the document in your Assignment Section by Week 8, Day 7 (Sunday) A Great InvestmentFor most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also acommitment. Suppose you are in the market for a new home and are interested in a new housing community under construction ina different city.1.2.3.4.5.6. The sales representative informs you that there are two floor plans still available, and that there are a total of 65 housesavailable. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.The sales representative later indicates that there are 4 times as many homes available with the second floor plan than the first.Using the same variables you used in question #1, write an equation that illustrates this situation..Use the equations from questions #1 and #2 of this exercise as a system of equations. Use substitution to determine how manyof each type of floor plan is available.What are the intercept(s) of the equation in question #1 of this problem?What are the intercept(s) in question #2 of this problem?Where would the two lines intersect if you solved the system by graphing? As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decideto inquire about it.7.8. 9. The sales representative here tells you they also have two floor plans available, but they only have 40 homes available. Write anequation that illustrates the situation. Use m to denote floor plan #1 and n to denote floor plan #2.The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for$200,000. She also mentions that allthe available houses combined are worth $7,625,000. Write an equation that illustrates this situation. Use the same variablesyou used in question #7.Use elimination to determine how many houses with each floor plan are available. You recently started the paperwork to purchase your new home, and you were just notified that you can move in to the house in 2weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested incontacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges$60 per hour with noadditional fees. Quick Move charges a $75 fee plus$35 per hour.10. Which mover provides a better deal for 2 hours of work?11. Which mover provides a better deal for 15 hours of work?12. For what value of h (hours), does Quick Move and Heavy Lifting offer the same (equal) deal? MAT/116 – Week 8 Real World Rev: 8/2010 (Hoyer)