Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?
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Given:
Rental cost of the boat = $60 per hour,
Cost of the safety course = $10
Amount not to be exceeded = $280
To Find:
The maximum number of hours for which Maria can rent the boat?
Solution:
Let the cost be = x
Therefore,
The boat is rented at $60 per hour, thus cost to rent a boat will be = 60x ( hours)
She wants to spend not more than $280, thus, = ≤ 280
The maximum number of hours for which she can rent the boat will be -
= 60x + 10 ≤ 280
= 60x ≤ 280 - 10
= x ≤ 270/60
= 4.5
= 4 ( Because the boat may only be hired for whole numbers of hours, Maria can only rent it for a maximum of four hours.
Answer: Maximum number of hours for which Maria can rent the boat is 4.
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