https://file.aiquickdraw.com/mathbot/file/1726279053595zbjmzeez.jpg

Let's break down the math problem shown in the image. Here’s the information and how to solve it:

**Problem 7:**  
Josephine paid **$650** to rent a beachfront cabana, and for each guest that used the cabana, an additional **$19.40** resort fee was added to the bill. The total bill was **$882.80**.  
We are asked to find how many guests used the cabana.

Let the number of guests be **x**. We can set up the following equation:
\[
650 + 19.40x = 882.80
\]

To solve for **x**:
1. Subtract 650 from both sides:
\[
19.40x = 882.80 - 650 = 232.80
\]
2. Divide by 19.40:
\[
x = \frac{232.80}{19.40} = 12
\]

So, **12 guests** used the cabana, which matches the written answer in the image.

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**Problem 8:**  
This question asks: *Which cost depends on the number of people who use the cabana?*

The cost that depends on the number of guests is the **resort fee** of **$19.40 per guest**.

---

**Problem 9:**  
This question asks: *Which cost is the same, regardless of how many visit the cabana?*

The fixed cost is the **$650** rental fee for the cabana, which does not change with the number of guests.

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Let me know if you'd like more detailed explanations or have any further questions! Here are five follow-up questions to expand the concept:

1. How would the equation change if the resort fee per guest was increased to $25?
2. If Josephine had only 8 guests, what would her total bill be?
3. What percentage of the total bill is attributed to the number of guests?
4. How much would Josephine have saved if no guests used the cabana?
5. If Josephine had 15 guests, what would her total cost be?

**Tip:** When solving word problems, always define variables and form equations based on given conditions to simplify the process.

Josephine paid $650 to rent a beachfront cabana at a vacation resort. For each guest that used the cabana, a $19.40 resort fee was added to the bill. If the bill was $882.80, how many guests used the cabana?

Learn how to solve a linear equation where Josephine rents a cabana for $650, and for each guest, an additional $19.40 fee is added. Find out how many guests used the cabana if the total bill was $882.80.

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