A furnace repair service charged a customer $80 for parts and $65 per hour worked. The bill totaled $177.50. About how long did the repair technician work on the furnance?
A. 0.5 hour
B. 1.5 hours
C. 2 hours
D. 47.1 hours
(177.5 - 80} / 65 = ?
To figure out how long the repair technician worked on the furnace, we need to consider the total cost of the repair and the cost per hour.
Let's assume the repair technician worked for 'x' hours. The cost for parts is $80, and the cost for the technician's labor is $65 per hour, multiplied by 'x' hours worked.
So, the equation would be:
80 + 65x = 177.50
To solve for 'x', we need to isolate it on one side of the equation:
65x = 177.50 - 80
65x = 97.50
Now, divide both sides of the equation by 65:
x = 97.50 / 65
x = 1.5
Therefore, the repair technician worked for 1.5 hours, which corresponds to option B.