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To find the point on the graph that represents the unit rate, we need to identify how much Andrew earns for each hour he works.

The unit rate in this context is the earnings per hour, which is the slope of the line. From the graph, let's examine the points and calculate the slope:

- The line starts at the origin $(0, 0)$, meaning Andrew has earned $0 for 0 hours of work.
- There is a point at $(12, 360)$, meaning Andrew earns $360 for 12 hours of work.

The unit rate (slope) can be found using the formula:

\[
\text{slope} = \frac{\Delta y}{\Delta x} = \frac{360 - 0}{12 - 0} = \frac{360}{12} = 30
\]

So, Andrew earns $30 per hour.

Thus, the point representing the unit rate is $(1, 30)$, meaning for 1 hour of work, Andrew earns $30.

Would you like further details on this? Here are some related questions to consider:

1. How is the unit rate related to the slope of the graph?
2. How would the graph look if Andrew earned a different amount per hour?
3. What would the equation of the line be for Andrew's earnings?
4. How can you use the graph to predict earnings for a different number of hours?
5. How is the concept of unit rate useful in real-life situations?

**Tip:** The unit rate can always be found as the "rise over run" or change in $y$ divided by change in $x$ on a graph of a proportional relationship.

What point on the graph represents the unit rate?

Learn how to determine the unit rate from a graph representing Andrew's earnings over time. The graph shows the relationship between the number of hours worked and total earnings, highlighting the concept of unit rate and the slope of a line. Suitable for students in Grades 6-8.

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