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?
To find: the inequality that represents the number of hours for which they can rent the boat.
Answer to Problem 22P
Explanation of Solution
Given information: 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. The family can spend $700 for the boat.
Calculation:
Let x be the number of hours for which they can rent the boat, where
The boat’s rental rate is $500 for the first two hours and $50 for each additional half hour.
Therefore, rent of first two hours is $500 and rent for ( x- 2) hours is $100( x- 2)
Total rent =500+100( x- 2)
The family can spend $700 for the boat.
Therefore,
Therefore, the inequality that represents the number of hours for which they can rent the boat is
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