Question
Bill's Plumbing Service charges $75 to schedule a repair visit plus $30 per hour to make repairs. If the total bill was $177, how many hours did Bill work on the repair?
Express your answer as a decimal number.
Answer
hours
Express your answer as a decimal number.
Answer
hours
Answers
GPT-4o mini
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.
1. The fixed scheduling charge is $75.
2. The variable cost is $30 per hour, multiplied by the number of hours worked, denoted as \( h \).
The equation for the total bill can be expressed as follows:
\[
\text{Total Bill} = \text{Scheduling Charge} + \text{Hourly Charge}
\]
Plugging in the numbers:
\[
177 = 75 + 30h
\]
Next, we can solve for \( h \). First, subtract the scheduling charge from both sides:
\[
177 - 75 = 30h
\]
\[
102 = 30h
\]
Now, divide both sides by 30 to find \( h \):
\[
h = \frac{102}{30}
\]
Calculating that gives:
\[
h = 3.4
\]
Thus, Bill worked for \( 3.4 \) hours on the repair.
The final answer is:
\[
\boxed{3.4} \text{ hours}
\]
The total bill consists of a fixed scheduling charge and a variable repair charge based on the number of hours worked.
1. The fixed scheduling charge is $75.
2. The variable cost is $30 per hour, multiplied by the number of hours worked, denoted as \( h \).
The equation for the total bill can be expressed as follows:
\[
\text{Total Bill} = \text{Scheduling Charge} + \text{Hourly Charge}
\]
Plugging in the numbers:
\[
177 = 75 + 30h
\]
Next, we can solve for \( h \). First, subtract the scheduling charge from both sides:
\[
177 - 75 = 30h
\]
\[
102 = 30h
\]
Now, divide both sides by 30 to find \( h \):
\[
h = \frac{102}{30}
\]
Calculating that gives:
\[
h = 3.4
\]
Thus, Bill worked for \( 3.4 \) hours on the repair.
The final answer is:
\[
\boxed{3.4} \text{ hours}
\]