https://file.aiquickdraw.com/mathbot/file/1730237496175mp2geoh5.jpg

To solve this, let's break down the problem:

1. **Problem Analysis:**
   - Stan earns $7.25 per hour during the day (represented by $ x $) and $9.25 per hour at night (represented by $ y $).
   - Stan wants to earn a total of $300.
   
2. **Setting Up the Equation:**
   The total earnings equation is:
   \[
   7.25x + 9.25y = 300
   \]

3. **Finding the Graph Representation:**
   We can rearrange the equation to find the intercepts:
   
   - **For the $ x $-intercept** (when $ y = 0 $):
     \[
     7.25x = 300 \Rightarrow x = \frac{300}{7.25} \approx 41.38
     \]
   - **For the $ y $-intercept** (when $ x = 0 $):
     \[
     9.25y = 300 \Rightarrow y = \frac{300}{9.25} \approx 32.43
     \]

   These intercepts give us the points $(41.38, 0)$ and $(0, 32.43)$, which should appear on the correct graph.

4. **Identifying the Correct Graph:**
   Look for a graph with intercepts near $ x = 41$ and $ y = 32$, and that aligns with the negative slope expected from the equation.

The correct graph should be the one where:
- The $ x $-axis intercept is approximately at 41.
- The $ y $-axis intercept is approximately at 32.

Do you want further explanation on setting up and solving linear equations like this? 

### Related Questions
1. How would the graph change if the total earnings target was $400 instead?
2. What would the equation look like if Stan was paid $8 during the day and $10 at night?
3. How many hours would Stan need to work only at night to earn $300?
4. If Stan wanted to split his hours equally between day and night, how would his earnings equation change?
5. How can we determine if a solution exists for a given earnings goal and hourly rates?

**Tip:** Always start by identifying intercepts when graphing linear equations with two variables—this simplifies plotting the line quickly.

Stan is a clerk at a 24-hour gas station. He gets paid $7.25 an hour to work during the day and $9.25 an hour to work at night, where x represents the amount of hours worked during the day, and y represents the amount of hours worked at night. Which graph represents the number of hours that he needs to work if Stan wants to make $300?

Determine the correct graph that represents Stan's required work hours to earn $300, given day and night pay rates of $7.25 and $9.25 per hour, respectively. This problem involves graphing linear equations and finding intercepts, suitable for high school algebra students.

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