SOLUTION: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations ei

Question 169619: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations either by elimination or substitution method.

Q. 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.

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
so lets come up with a formula using h for hours on each company:
:
heavy lifters, lets say HL, would be 80+35h
:
quick movers,lets say QM ,would be 55h
:
so for 2 hours ...HL would be
...for 2 hours....QM would be
:
for 15 hours....HL would be
for 15 hours....QM would be
:
now you want because you want it to be a better deal
:
so 55h<80+35h.....subtract 35h
:
20h<80...divide by 20
:
meaning anything less than 4 hours and QM has the better deal. at 4 hours the costs will be equal and anything above 4 hours and HL is the better deal
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