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Question 1093560: A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $900 for the boat. What inequality represents the number of hours for which they can rent the boat?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39616)   (Show Source):
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website! A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $900 for the boat. What inequality represents the number of hours for which they can rent the boat?
With t being time, in hours, correct INEQUALITY is: 
IGNORE anyone who says otherwise!
Answer by ikleyn(52776)  (Show Source):
You can put this solution on YOUR website! .
Let me do it in a way in how it should be done.
Let C(t) be the non-linear function defined by these two lines
C(t) = 500, if 0 <= t <= 2,
C(t) = 500+100*(t-2), if t > 2.
where t is the time in hours.
Then the inequality the problem asks for is
C(t) <= 900.
The solution set for this inequality is the time interval [ , ], which is [0, 6].
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