The cost for an electrician is $135 for 3 hours. A 7 hour repair costs $315. Showing your calculations, determine the price of a 12 hour repair.
135/3 = 315/7 = 45 per hour
45 * 12 = $ 540
To determine the price of a 12 hour repair, we need to find the cost per hour for the electrician's services.
First, let's find the cost per hour for the 3-hour repair using the given information that it costs $135. We can set up a proportion:
(3 hours) / ($135) = (1 hour) / (x)
Cross-multiplying, we have:
3x = 135
Dividing both sides by 3:
x = 45
So the cost per hour for the electrician's services is $45.
Next, let's find the cost per hour for the 7-hour repair using the given information that it costs $315. We can set up another proportion:
(7 hours) / ($315) = (1 hour) / (x)
Cross-multiplying, we have:
7x = 315
Dividing both sides by 7:
x = 45
Again, we find that the cost per hour for the electrician's services is $45.
Now, to find the price of a 12-hour repair, we can use the cost per hour of $45:
Price of 12-hour repair = (12 hours) × ($45/hour)
Price of 12-hour repair = $540
Therefore, the price of a 12-hour repair is $540.