Problema Solution
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.
Answer provided by our tutors
a) Heavy lifter charges $80 + 2*$35 = $80 + $70 = $150
Quick Mover Charges 2*$55 = $110
so Quick Mover provide better deal for 2 hours
b) Heavy lifter charges $80 + 15*$35 = $80 + $525 = $605
Quick Mover Charges 15*$55 = $825
so Heavy lifter provide better deal for 15 hours
c) Quick mover charge 55h
Heavy lifter charge 80 + 35h
we want 55h < 80 + 35h
55h - 35h <80
20h<80
h<80/20
h < 4
so for hours less than 4 quick move offer better deal.