To find out how many hours Bill worked on the repair, we can set up an equation based on the total bill.
The total bill consists of a fixed scheduling charge and a variable repair charge based on the number of hours worked.
- The fixed scheduling charge is $75.
- The variable cost is $30 per hour, multiplied by the number of hours worked, denoted as
.
The equation for the total bill can be expressed as follows:
Plugging in the numbers:
Next, we can solve for
Now, divide both sides by 30 to find
Calculating that gives:
Thus, Bill worked for
The final answer is: