Final answer:
To find the number of hours of labor it took for the technician to install the remote starter, subtract the cost of the starter from the total bill and then divide the result by the labor cost per hour. It took the technician 2.5 hours to install the remote starter.
Step-by-step explanation:
To find the number of hours of labor it took for the technician to install the remote starter, we can subtract the cost of the starter from the total bill and then divide the result by the labor cost per hour.
Let's denote the number of labor hours as 'x'.
The cost of the starter is $250 and the total bill is $437.50. Therefore, the cost of labor is $437.50 - $250 = $187.50.
Since the labor cost is $75 per hour, we can set up the equation: $75x = $187.50.
Dividing both sides of the equation by $75, we have: x = $187.50 / $75 = 2.5 hours.
Therefore, it took the technician 2.5 hours to install the remote starter.