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Answer :
To find an equation that represents a final bill of [tex]$170, we need to consider the given charges from the electrician: a service charge of $[/tex]40 and an additional [tex]$25 per hour.
We are looking to write this situation into an equation where \( h \) represents the number of hours worked, and the total cost should equal $[/tex]170.
Let's break down the problem:
1. Service Charge: The electrician charges a flat fee of [tex]$40, regardless of the number of hours worked.
2. Hourly Rate: In addition to the service charge, the electrician charges $[/tex]25 for each hour of work. Thus, if [tex]\( h \)[/tex] is the number of hours worked, the total hourly charge is [tex]\( 25h \)[/tex].
3. Total Cost: The total bill is calculated by adding the service charge and the hourly charge, which can be expressed as:
[tex]\[
40 + 25h
\][/tex]
We need the total to be [tex]$170, which gives us the equation:
\[
40 + 25h = 170
\]
Looking at the provided options, this matches with the third option given:
- $[/tex]40 + 25h = 170$
Therefore, the correct equation to represent the situation is:
[tex]\[ 40 + 25h = 170 \][/tex]
We are looking to write this situation into an equation where \( h \) represents the number of hours worked, and the total cost should equal $[/tex]170.
Let's break down the problem:
1. Service Charge: The electrician charges a flat fee of [tex]$40, regardless of the number of hours worked.
2. Hourly Rate: In addition to the service charge, the electrician charges $[/tex]25 for each hour of work. Thus, if [tex]\( h \)[/tex] is the number of hours worked, the total hourly charge is [tex]\( 25h \)[/tex].
3. Total Cost: The total bill is calculated by adding the service charge and the hourly charge, which can be expressed as:
[tex]\[
40 + 25h
\][/tex]
We need the total to be [tex]$170, which gives us the equation:
\[
40 + 25h = 170
\]
Looking at the provided options, this matches with the third option given:
- $[/tex]40 + 25h = 170$
Therefore, the correct equation to represent the situation is:
[tex]\[ 40 + 25h = 170 \][/tex]
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