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The problem describes a plumber’s fee model represented by the equation:

\[
y = 30.50x
\]

where:
- $ y $ is the total charge in dollars.
- $ x $ is the number of hours worked.

The question asks what the value $ 30.50 $ represents in this context.

Since $ y = 30.50x $, $ 30.50 $ is the rate at which the total charge increases per hour of work. This implies that $ 30.50 $ is the plumber's hourly rate.

**Correct Answer:**  
- **The plumber's hourly rate**

Would you like further explanation or have any additional questions?

### Related Questions
1. What would the total charge be if the plumber worked for 5 hours?
2. How would the equation change if the plumber charged a flat fee plus an hourly rate?
3. If the hourly rate increased to $35, what would the new equation be?
4. How does the slope of the line $ y = 30.50x $ represent the hourly rate?
5. How many hours of work would result in a total charge of $152.50?

### Tip
In linear equations, the coefficient of the variable usually represents the rate of change—in this case, the rate per hour.

A plumber's fee is modeled by the following equation where y is the total charge, in dollars, and x is the number of hours worked. y = 30.50x. What does the 30.50 represent in this situation?

Explore how to determine the hourly rate in a linear equation representing a plumber's fee. This problem demonstrates the concept of rate of change, using y = 30.50x to represent the total charge based on hours worked. Suitable for students in Grades 7-8.

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