https://file.aiquickdraw.com/mathbot/file/1727102065098pc51q6l7.jpg

To find the hourly wage from the graph:

1. We need to calculate the **slope** of the line, which represents the employee's wage in dollars per hour.
2. The formula for slope (or rate) is:
   \[
   \text{slope} = \frac{\text{Change in Earnings (y)}}{\text{Change in Hours worked (x)}}
   \]
3. From the graph, one clear point is at $(1, 40)$, meaning after 1 hour, the employee has earned $40.
4. Another point on the graph is $(10, 400)$, meaning after 10 hours, the employee has earned $400.

Now, applying the slope formula:

\[
\text{Hourly wage} = \frac{400 - 40}{10 - 1} = \frac{360}{9} = 40 \, \text{dollars per hour}
\]

So, the hourly wage is **$40 per hour**.

Would you like more details or have any questions?

Here are some related questions you might consider:
1. What is the total earnings for 8 hours of work?
2. How would the graph look if the wage was $50 per hour instead?
3. What would be the effect on the graph if the employee worked overtime at 1.5 times the hourly wage after 8 hours?
4. How do you interpret the y-intercept in this context?
5. What would happen if the wage increased by $5 per hour?

**Tip:** The slope of a line in proportional relationships always represents the rate of change—like hourly wages in this case!

Find the hourly wage from the graph provided, which shows the relationship between hours worked and earnings.

Learn how to calculate an hourly wage from a graph of proportional relationships. This example explains how to find the slope of a line showing earnings based on hours worked, and applies it to determine a $40 per hour wage. Suitable for Grades 6-8.

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