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A plumber charges a flat fee of $76 to visit home and examine a clogged drain the plumber charges an additional $28 per hour spent fixing the drain the total cost C in dollars for fixing the drain that takes H hours is given by the following: C = 76 + 28hquestion 1 : total cost for fixing a drain that takes 7 hoursquestions 2 : if the plumber charged a total of $384 how many hours did he spend fixing the drain

User Ian Zane
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1 Answer

3 votes

Answer:

1. $ 272

2. 11 hours

Step-by-step explanation:

Given the below equation;


C=28h+76

where C = the total cost

h = hours spent

1. If h = 7 hours, let's go ahead and find C;


\begin{gathered} C=28(7)+76 \\ =196+76 \\ \therefore C=272 \end{gathered}

So if it takes 7hours to fix the drain, the total cost will be $272.

2. If C = $384, let's go ahead and find h;


\begin{gathered} 384=28h+76 \\ 28h=384-76 \\ 28h=308 \\ h=(308)/(28) \\ \therefore h=11 \end{gathered}

So if the plumber charged $384 to fix the drain, it means that he'd spent 11 hours to fix the drain.

User Emran
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