Respuesta :
Let us first make expressions for each electrician.
Electrician 1:
Service call fee charged by first electrician =$50
Per hour labor charges =$25
let us say he worked for x hours.
Total cost = 50 +25x ...............(1)
Electrician 2:
Service call fee charged by second electrician =$35
Per hour labor charges =$27.50
let us say he worked for x hours.
Total cost = 35 +27.50 x.............. (2)
Since total cost is same for x hours, so equating equations (1) and (2)
[tex] 50 +25x= 35 +27.50x [/tex]
[tex] 50 -35= 27.50x -25x[/tex]
[tex] 15=2.50x [/tex]
dividing both sides by x
x = 6
Answer : A job would take 6 hours if the total cost for each electrician is the same.
The number of hours it would take the total cost of each electrician to be the same is 6 hours.
The total cost of the electricians is made up of fixed cost and variable cost. Â The fixed cost of the electrician is the service call fee and the variable cost is the cost per hour of labor.
Total cost of the first electrician: Â $50 + $25h
Total cost of the second electrician: $35 + $27.50h
Where h represents the total hours worked.
In order to determine the time when the total cost of each electrician would be the same, equate the expression for each electrician together.
$50 + $25h  =  $35 + $27.50h
Combine similar terms
$50 - $35 = $27.50h - $25h
$15 = $2.50h
h = $15 / 2.50
h = 6 hours
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