Question

The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08(55h) + 55h, where h represents the number of hours it takes to fix Azar's computer.

What percentage sales tax is Azar being charged?
What part of the expression represents the dollar amount of sales tax Azar must pay?

Answer 1

The percentage sales tax is;

`8\text{\%}`

The expression for the dollar amount of the sales tax.

`0.08(55h)`

Step-by-step explanation:

Given the expression for the total cost after sales tax to fix Azar's computer is represented by the expression;

`0.08(55h)+55h`

The first part of the equation represents the expression for the dollar amount of the sales tax.

`0.08(55h)`

The second part of the equation represents the expression for the dollar amount of the cost before sales tax.

`55h`

The percentage sales tax will then be;

`\begin{gathered} \text{ \%P = }(0.08(55h))/(55h)*100\text{\%} \\ \text{ \%P =}0.08*100\text{\%} \\ \text{ \%P =}8\text{\%} \end{gathered}`

Therefore, the percentage sales tax is;

`8\text{\%}`

The expression for the dollar amount of the sales tax.

`0.08(55h)`