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=(1299)/(16)x+108.25 \end{gathered}`

So, the total charge will be:

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

So, the total charge is approximately $352.