A plumber charges a flat fee of $74 to visit a home and examine a clogged drain. The plumber charges an additional $24 spent fixing the drain. The total cost, c (in dollars), for fixing a drain that takes h hours is given by the following.
C=24h+74
Answer the following questions.
the plumber charged a total of $362, how many hours did he spend fixing the drain?
To find the number of hours the plumber spent fixing the drain, we can use the equation C = 24h + 74, where C is the total cost and h is the number of hours spent.
Given that the total cost is $362, we can substitute C = 362 into the equation:
362 = 24h + 74
Now, we can solve for h:
24h = 362 - 74
24h = 288
h = 288 / 24
h = <<12=12>>12
Therefore, the plumber spent 12 hours fixing the drain.