SOLUTION: 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 ca

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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): You can put this solution on YOUR website!
x, time in hours
y, cost

for
and
for


If first two hours already used, then
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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