Your family decides to rent a boat for the day. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose your family's budget is $700.a. Write an inequality that represents your family's situation.b. What is the maximum number of additional half hours can you rent?

Respuesta :

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.