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:
[tex]500+50x[/tex]
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:
[tex]500+50x\le700[/tex]
We solve it for x:
[tex] 500-500+50x\le700\\[0.2in]50x\le200\\[0.2in]\displaystyle x\le\frac{200}{50}\\[0.2in]x\le4[/tex]
Therefore, the family can rent the boat for a maximum number of 4 additional half hours
