SOLUTION: 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

Question 189669: 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.
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer? Heavy Lifting charge $80+$35h(2)=$150
Which mover provides a better deal for 15 hours of work? How did you arrive at your answer? Heavy Lifters charges $80 + $35h(15) = $605
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 jonvaliente(64) (Show Source):
You can put this solution on YOUR website!
Heavy Lifting charges 80+35*h
Quick Move charges 55*h
You want to find h (hours) where:
80+35h>55h (Heavy Lifting charges more than Quick Move)
Subtracting 35h from both sides, we get:
80+35h-35h>55h-35h
80>20h
Dividing bothsides by 20, we get:
4>h
So Quick Move is cheaper/better deal if h is less than 4 hours