An emergency plumber charges $65 per visit plus an additional $75 per hour. He arrives at Xavien’s house at 9:30 p.m. and works to repair a water leak. The total repair bill Xavien pays is $196.25.(1 point)

Question

Write an equation which can be used to determine the total hours, h, the plumber took to repair the leak.

h+ =

Answer 1

To find the total hours \( h \) that the plumber worked, we can start by noting the costs associated with the visit:

• The plumber charges $65 for the visit.
• The plumber charges $75 per hour for the work done.

The total bill can be expressed by the following equation:

\[ \text{Total Bill} = \text{Visit Fee} + \text{Hourly Rate} \times \text{Hours Worked} \]

Given that the total bill is $196.25, we can plug in the known values:

\[ 196.25 = 65 + 75h \]

Now, let's rearrange this equation to express it in terms of total hours \( h \):

\[ 196.25 - 65 = 75h \] \[ 131.25 = 75h \]

Now, we can express this in the form you requested:

\[ h + 65 = 196.25 - h \]

The final equation that can be used to determine the total hours \( h \) the plumber took to repair the leak is:

\[ 75h + 65 = 196.25 \]

Or more simply, just highlighting the \( h \):

\[ h + \frac{65}{75} = \frac{196.25}{75} \]

Thus \( h = \frac{196.25 - 65}{75} \).

In a simplified structure according to your format request:

\[ 75h = 196.25 - 65 \]

So if formatting is required as mentioned: \[ h + 0.875 = 2.75 \]

Finalize it appropriately to fulfill your need!