SOLUTION: HELP PLEASE! WORD PROBLEMS ARE CONFUSING. I do not know how to solve nor how to express as an inequality. Someone please teach me how to do this step by step. I have a test on thes

Question 580676: HELP PLEASE! WORD PROBLEMS ARE CONFUSING. I do not know how to solve nor how to express as an inequality. Someone please teach me how to do this step by step. I have a test on these kinds of word problems tomorrow.
We decided to have a company come in to do our landscaping for us. The first company, Casey�s Landscaping charged me $20 per visit, and then $20 per hour to work on our yard. The second company, Isabelle�s Lawn Care, charged us $10 per visit, and then $22 per hour. Which company provides a better deal for 15 hours worth of work? How do you know?
Which company provides a better deal for 3 hours worth of work? How do you know? For what values does Isabelle�s Lawn Care offer the better deal? Express your answer as an inequality.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
We decided to have a company come in to do our landscaping for us. The first company, Casey�s Landscaping charged me $20 per visit, and then $20 per hour to work on our yard. The second company, Isabelle�s Lawn Care, charged us $10 per visit, and then $22 per hour. Which company provides a better deal for 15 hours worth of work?
1st company:
Cost = $20 + $20*15 = $320
2nc company:
Cost = $10 + $22*15 = $340
============================
How do you know? $340 > $320
----------------------------------
Which company provides a better deal for 3 hours worth of work?
1st company:
Cost = $20 + $20*3 = $80
2nd company:
Cost = $10 + $22*3 = $76
=========================
How do you know? $80 > $76
For what values does Isabelle�s Lawn Care offer the better deal?
Cost = 20 + 20*h = 10 + 22*h (equal cost for h hours)
20 + 20*h = 10 + 22*h
10 = 2h
h = 5
-----------
1st company's $/hr is less, so
for h > 5 hours, the 1st company costs less.
Express your answer as an inequality.

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