Question

A family decides to rent a boat for the day. The boats rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family budgeted $700 to rent the boat. What is the maximum number of additional fall hours for which they can’t rent the boat.

Answer 1

its====the question for the answer is 550

Answer 2

4 is the maximum number of additional half-hours for which the family can rent the boat.

Step-by-step explanation:

Let us represent with x the number of additional half hours the boat can be rented.

Then notice the cost of renting the boat is modeled with the following expression:

`500+50x`

Since it is the sum of the $500 for the first two hours plus the cost of the additional half hours which is the product of the cost of a single half hour $50 times the number of additional half-hours.

The family budgeted $700 therefore to cover the bill, therefore we have the following inequality:

`500+50x\le700`

We solve it for x:

`500-500+50x\le700\\[0.2in]50x\le200\\[0.2in]\displaystyle x\le(200)/(50)\\[0.2in]x\le4`

Therefore, the family can rent the boat for a maximum number of 4 additional half hours