To find the cost of labor per hour (denoted as $c$), we can set up an equation based on the information provided:

• The technician worked for 5.25 hours.
• The cost for parts was $133.
• The total amount Sarah was charged was $579.25.

The equation will include the cost of labor for the hours worked plus the cost of parts, which equals the total amount charged. Therefore, the equation is:

$5.25c + 133 = 579.25$

Here, $c$ represents the cost of labor per hour.

Would you like to solve for $c$ or have more details on how to solve the equation?

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Here are 5 related questions:

1. How would you solve the equation to find the value of $c$?
2. If the technician had worked for 6 hours instead, what would the total cost be?
3. What is the total cost of labor if the hourly rate is $85?
4. How much would Sarah have been charged if the parts cost $150 instead of $133?
5. What percentage of the total bill is the cost of labor?

Tip: When solving linear equations, always isolate the variable on one side of the equation to find its value.