SOLUTION: I am having a hard time trying to solve this problem, can you please help. thanks. Problem: Jim decides to hire a moving compnay, but is unsure which company to choose. Jim is

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I am having a hard time trying to solve this problem, can you please help. thanks. Problem: Jim decides to hire a moving compnay, but is unsure which company to choose. Jim is       Log On


   

Question 205039: I am having a hard time trying to solve this problem, can you please help. thanks.
Problem:
Jim decides to hire a moving compnay, but is unsure which company to choose. Jim is interested in contacting two companies, Heavy Lifters and Quick movers, to discuss their rates. Heavy lifters charges an $80 fee plus $35 per hour. Quick movers charges $55 per hour with no additional fees. Which mover provides a better deal for 2 hours of work? Which mover provides a better deal for 15 hours of work? For what values h(hours) does Quick movers offer the better deal. Express answer in an inequality.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let HL = the cost of using Heavy Lifters for the move.
Let QM = the cost of using Quick Movers for the move.
These costs can be expressed by:
HL+=+80%2B35h and...
QM+=+55h
For 2 hours of work, substitute h = 2.
HL+=+80%2B35%282%29
HL+=+80%2B70
highlight%28HL+=+150%29 dollars.
QM+=+55%282%29
highlight_green%28QM+=+110%29dollars.
The Quick Movers provide a better deal for 2 hours of work!
For 15 hours of work, substitute h = 15.
HL+=+80%2B35%2815%29
HL+=+80%2B525
highlight_green%28HL+=+605%29dollars.
QM+=+55%2815%29
highlight%28QM+=+825%29dollars.
The Heavy Lifters provide a better deal for 15 hours of work.
Quick Movers provide a better deal if they cost less, and this can be expressed as:
QM+%3C+HL Substitute the appropriate equations from above:
55h+%3C+80%2B35h Solve for h. Subtract 35h from both sides.
20h+%3C+80 Divide both sides by 20.
h+%3C+4
Quick Movers offer a better deal for less than 4 hours of work.