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To determine the point on the graph that represents the unit rate, we need to identify the rate of change between the total earnings, \( y \), and the number of hours worked, \( x \).

The **unit rate** is the earnings per hour, which corresponds to the change in \( y \) when \( x = 1 \). 

Looking at the answer choices and the graph:
- **(1, 30):** This indicates that when \( x = 1 \) hour, \( y = 30 \) dollars. This represents the amount earned per hour, which is the unit rate.
- Other points:
  - **(0, 0):** This is the starting point (no hours worked, no earnings).
  - **(30, 1):** This is likely a misrepresentation as it implies 1 dollar for 30 hours.
  - **(4, 120):** This shows that 4 hours of work results in 120 dollars, but it does not represent the unit rate.

Therefore, the point **(1, 30)** represents the unit rate of earnings per hour.

Would you like more details or have any questions?

### Related Questions:
1. How do you calculate the unit rate from a graph?
2. What does the slope of a line represent in real-world problems?
3. How can you determine the equation of a line from its graph?
4. What does the point (0, 0) usually represent in context like this?
5. How would the graph change if Fabian earned a different rate?

**Tip:** The unit rate can always be identified by finding how much of the dependent variable (y) changes when the independent variable (x) is increased by 1.

Fabian has just gotten a new job. The relationship between the number of hours he works, x, and his total earnings, y, is represented by the graph below. What point on the graph represents the unit rate?

Explore how to find the unit rate from a graph representing the relationship between hours worked and total earnings. This problem demonstrates how to calculate the slope or unit rate for Fabian's job earnings. Suitable for Grades 6-8.

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