Question

A plumbing company charges $75 per hour with a $100 inspection fee. A sales tax of 8.25% is then calculated based on the charges (subtotal). How much would the total chargebe for 1 hour of service?$Round answer to the nearest whole dollar value.

Answer 1

Given

charge per hour: $75

inspection fee = $100

sales tax = 8.25% of subtotal

time : 1 hour

The total charge would be the sum of the charge per hour, inspection fee and the sales tax.

The subtotal charge:

$\begin{gathered} =\text{ charge per hour +inspection fee} \\ =\text{ \ 75 }\times\text{ 1 + \ 100} \\ =\text{ \ 175} \end{gathered}$

Adding the sales tax:

$\begin{gathered} Total\text{ charge = \ 175 + }\frac{8.25}{100}\text{ }\times\text{ 175} \\ =\text{ \ 189.4375} \\ \approx\text{ \ 189} \end{gathered}$

Hence, the total charge for a 1 hour service would be $189