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, the maximum number of hours for which Maria can rent the boat is ___

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Solution

Let n be the number of hours for which Maria rents the boat. Given that rental cost is $$ 60$ per hour. Also she has to pay $$ 10$ for a water safety course. Hence, the total cost is 60n + 10 . Given that she will spend a maximum of $$ 280$ . Hence,
$60 n + 10 \leq 280$
$\Rightarrow 60 n \leq 270$
$n \leq 4.5$
Since the boat rental is available only for whole number of hours (n is a whole number), the maximum number of hours for which Maria can rent the boat is 4.

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