Question

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

Answer 1

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.