Answer:
(a)500+50x≤700
(b)4 half-hours
Explanation:
Rental rate of the boat for the first two hours = $500.
Cost of each additional half-hour = $50
Let the number of half-hours = x
The cost for x half-hours = $50x
Therefore, the total amount spent will be:
[tex]500+50x[/tex]Since your family's budget is $700, you can spend less than or exactly $700.
(a)Therefore, an inequality that represents your family's situation is:
[tex]500+50x\le700[/tex](b)We solve for x.
[tex]\begin{gathered} 50x\le700-500 \\ 50x\le200 \\ x\le\frac{200}{50} \\ x\le4 \end{gathered}[/tex]The maximum number of additional half hours you can rent is 4.