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 can

Algebra ->  Inequalities -> 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 can       Log On


   

Question 1128347: 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 $700 for the boat. What inequality represents the number of hours for which they can rent the boat?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = total hours
+500+%2B+50%2A%28n+-+2+%29%2F2+%3C=+700+
+50%2A%28+n+-+2+%29%2F2+%3C=+200+
+%28+n+-+2+%29%2F2+%3C=+4+
+n+-+2+%3C=+8+
+n+%3C=+10+

Answer by MathTherapy(10551) About Me  (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 $700 for the boat. What inequality represents the number of hours for which they can rent the boat?
With H being the number of hours > 2, we get: 

Solving this inequality will give you: highlight_green%28H+%3C=+4%29.

This means that with a budget of $700, the family can rent the boat for NO MORE THAN 4 hours.