A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.=C+7925hAnswer the following questions.(a)What is the total cost for fixing a drain that takes 7 hours?$(b)If the plumber charged a total of $354, how many hours did he spend fixing the drain?hours
Question
A plumber charges a flat fee of 25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.=C+7925hAnswer the following questions.(a)What is the total cost for fixing a drain that takes 7 hours?354, how many hours did he spend fixing the drain?hours
Solution
(a) To find the total cost for fixing a drain that takes 7 hours, we substitute h = 7 into the equation C = 79 + 25h.
C = 79 + 25 * 7 C = 79 + 175 C = $254
So, the total cost for fixing a drain that takes 7 hours is $254.
(b) To find out how many hours the plumber spent fixing the drain if he charged a total of $354, we set C = 354 in the equation and solve for h.
354 = 79 + 25h 275 = 25h h = 275 / 25 h = 11 hours
So, if the plumber charged a total of $354, he spent 11 hours fixing the drain.
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