document.write( "Question 205039: I am having a hard time trying to solve this problem, can you please help. thanks.\r
\n" ); document.write( "\n" ); document.write( "Problem:
\n" ); document.write( "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.
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Algebra.Com's Answer #154774 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let HL = the cost of using Heavy Lifters for the move.
\n" ); document.write( "Let QM = the cost of using Quick Movers for the move.
\n" ); document.write( "These costs can be expressed by:
\n" ); document.write( "\"HL+=+80%2B35h\" and...
\n" ); document.write( "\"QM+=+55h\"
\n" ); document.write( "For 2 hours of work, substitute h = 2.
\n" ); document.write( "\"HL+=+80%2B35%282%29\"
\n" ); document.write( "\"HL+=+80%2B70\"
\n" ); document.write( "\"highlight%28HL+=+150%29\" dollars.
\n" ); document.write( "\"QM+=+55%282%29\"
\n" ); document.write( "\"highlight_green%28QM+=+110%29\"dollars.
\n" ); document.write( "The Quick Movers provide a better deal for 2 hours of work!
\n" ); document.write( "For 15 hours of work, substitute h = 15.
\n" ); document.write( "\"HL+=+80%2B35%2815%29\"
\n" ); document.write( "\"HL+=+80%2B525\"
\n" ); document.write( "\"highlight_green%28HL+=+605%29\"dollars.
\n" ); document.write( "\"QM+=+55%2815%29\"
\n" ); document.write( "\"highlight%28QM+=+825%29\"dollars.
\n" ); document.write( "The Heavy Lifters provide a better deal for 15 hours of work.
\n" ); document.write( "Quick Movers provide a better deal if they cost less, and this can be expressed as:
\n" ); document.write( "\"QM+%3C+HL\" Substitute the appropriate equations from above:
\n" ); document.write( "\"55h+%3C+80%2B35h\" Solve for h. Subtract 35h from both sides.
\n" ); document.write( "\"20h+%3C+80\" Divide both sides by 20.
\n" ); document.write( "\"h+%3C+4\"
\n" ); document.write( "Quick Movers offer a better deal for less than 4 hours of work.
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