Afamily 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.

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:

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:

We solve it for x:

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

associative property of multiplication