SOLUTION: Hi, I am having trouble coming up with the answer to this word problem. according to the text book answer it is 6 hours. I keep getting 5. please help me by showing the process on

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Question 218824: Hi, I am having trouble coming up with the answer to this word problem. according to the text book answer it is 6 hours. I keep getting 5. please help me by showing the process on how to get the correct answer so I can see what I'm doing wrong. Thank you so much for your help!
The problem is:
A parking garage charges $1.75 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of time Tom can park in the garage if he wishes to pay no more than $4.25?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A parking garage charges $1.75 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of time Tom can park in the garage if he wishes to pay no more than $4.25?
------------------------------------------------------
Cost = 1.75 + 0.50(x-1)
4.25 >= 1.75 + 0.50x - 0.50
0.50x +1.25 <= 4.25
0.50x <= 3.00
x <= 6
===============
Cheers,
Stan H.

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