Question

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?

Answer 1

(a)500+50x≤700

(b)4 half-hours

Step-by-step 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:

`500+50x`

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:

`500+50x\le700`

(b)We solve for x.

`\begin{gathered} 50x\le700-500 \\ 50x\le200 \\ x\le(200)/(50) \\ x\le4 \end{gathered}`

The maximum number of additional half hours you can rent is 4.