Answer:
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