this is my last questions and I'm stumped can someone help, if not I'll continue
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.
I think someone here will be able to help you. Please continue your question. We also would like to know your thoughts and how you think you should solve these problems.
i would like to help you, but I think part of the question is missing?
a) To determine which mover provides a better deal for 2 hours of work, we need to compare the total cost for each company.
For Heavy Lifters:
- Fee: $80
- Cost for 2 hours: $35/hour * 2 hours = $70
- Total cost: $80 + $70 = $150
For Quick Move:
- Cost for 2 hours: $55/hour * 2 hours = $110
Comparing the total costs, we can see that Heavy Lifters charges $150 for 2 hours of work, while Quick Move charges $110. Therefore, Quick Move provides a better deal for 2 hours of work.
b) To determine which mover provides a better deal for 15 hours of work, we follow the same process as in part a.
For Heavy Lifters:
- Fee: $80
- Cost for 15 hours: $35/hour * 15 hours = $525
- Total cost: $80 + $525 = $605
For Quick Move:
- Cost for 15 hours: $55/hour * 15 hours = $825
Comparing the total costs, we can see that Heavy Lifters charges $605 for 15 hours of work, while Quick Move charges $825. Therefore, Heavy Lifters provides a better deal for 15 hours of work.
c) To determine for what values of h (hours) Quick Move offers a better deal, we need to determine when their total cost is lower than Heavy Lifters.
Let's set up the inequality:
Quick Move's total cost < Heavy Lifters' total cost
$55/hour * h < $80 + $35/hour * h
$55h < $80 + $35h
$20h < $80
h < 4
Therefore, for any value of h less than 4 hours, Quick Move offers a better deal. This means that if the number of hours is less than 4, Quick Move would be the more cost-effective option.