3. You recently started the paperwork to purchase your new home, and were just n

Question

3. You recently started the paperwork to purchase your new home, and 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 Lifting 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.

Explanation / Answer

a) for 2 hours

Heavy Lfitng = 80 + 35*2 = 80 + 70 = 150

Quick move = 2*55 = 110

Qucik move is best

b) Heavy Lifting 80 + 15*35 = 605

Qucik Move 15*55 = 825

c) 80 + 35x < 55x

80 < 20 x

4 <x

x > 4

more than 4 hours onwards Heavy Lfiting best..

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