Question

A plumbing company charges $75 per hour with a $100 inspection fee. A sales tax of 8.25% is then calculated based on the charges (subtotal). How much would the total charge be for 3 hours of service?$____________Round answer to the nearest whole dollar value.

Answer 1

We will have the following:

We will calculate the total charge as follows:

$\begin{gathered} y=75x+100+0.0825(75x+100) \\ \\ \Rightarrow y=\frac{1299}{16}x+108.25 \end{gathered}$

So, the total charge will be:

$\begin{gathered} y=\frac{1299}{16}(3)+108.25\Rightarrow y=\frac{5629}{16} \\ \\ \Rightarrow y\approx352 \end{gathered}$

So, the total charge is approximately $352.