Question

# 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?

## The correct answer is: Maria can rent the boat for maximum 4 hours.

### Solution:-

- We have given that,

Rental cost of the boat = $60 per hour,

Cost of water safety course = $10

Spend not to be exceeded = $280

- We have to find the maximum number of hours for which Maria can rent the boat.
- Let number of hours = 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

Subtract 10 from both sides

= 60x ≤ 280 – 10

Divide both sides by 60

= x ≤

We get

x= 4.5

x= 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: Maria can rent the boat for maximum 4 hours

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