Question
An emergency plumber charge of $65 per visit plus an additional $75 per hour he arrives at ex's house at 9:30 p.m. and works to repair a water leak the total repair Bill X pays is $196.25 write an equation which could be used to determine the total hours the plumber took to repair the leak
Answers
Answered by
GPT-4o mini
To determine the total hours the plumber took to repair the leak, we can start by breaking down the charges.
1. **Fixed Charge for the Visit**: The plumber charges a fixed fee of $65 for the visit.
2. **Hourly Charge**: The plumber also charges $75 for each hour of work.
Let \( h \) represent the total hours the plumber worked. The total bill can be expressed as the sum of the fixed charge and the hourly charge multiplied by the number of hours worked. Therefore, the equation can be set up as follows:
\[
\text{Total Bill} = \text{Fixed Charge} + (\text{Hourly Charge} \times \text{Hours Worked})
\]
Substituting the known values into the equation:
\[
196.25 = 65 + 75h
\]
This equation can be used to determine the total hours \( h \) the plumber took to repair the leak.
1. **Fixed Charge for the Visit**: The plumber charges a fixed fee of $65 for the visit.
2. **Hourly Charge**: The plumber also charges $75 for each hour of work.
Let \( h \) represent the total hours the plumber worked. The total bill can be expressed as the sum of the fixed charge and the hourly charge multiplied by the number of hours worked. Therefore, the equation can be set up as follows:
\[
\text{Total Bill} = \text{Fixed Charge} + (\text{Hourly Charge} \times \text{Hours Worked})
\]
Substituting the known values into the equation:
\[
196.25 = 65 + 75h
\]
This equation can be used to determine the total hours \( h \) the plumber took to repair the leak.