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 x and y to denote floor plan #1 and floor plan #2 respectively.

b)The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.

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

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?

b)Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?

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.