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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.

A plumbing company charges 75 per hour with a 100 inspection fee A sales tax of 825 is then calculated based on the charges subtotal How much would the total ch class=

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We will have the following:

We will calculate the total charge as follows:

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

So, the total charge will be:

[tex]\begin{gathered} y=\frac{1299}{16}(3)+108.25\Rightarrow y=\frac{5629}{16} \\ \\ \Rightarrow y\approx352 \end{gathered}[/tex]

So, the total charge is approximately $352.

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