Question

The total cost after tax to repair Deborah’s computer is represented by 0.08(70h)+70h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of dollars Deborah has to pay in tax? Explain and please show the steps thank you.

Answer 1

The expression represents the total cost of the computer repair, including taxes.

`0.08(70h)+70h`

"h" represents the number of hours that takes to repair the computer.

The total cost of the service is calculated as the ground price plus the taxes. The taxes are a percentage of the ground price.

For example, let's say that the ground price is "2x" which indicates that the cost is $2 per time unit represented by the variable "x", if the tax is 1% of the ground price, you can calculate said percentage by multiplying the ground price by 1% and divide it by 100:

`(1\%\cdot2x)/(100\%)=(1\%)/(100\%)(2x)=0.01(2x)`

The taxes in this example will be expressed by the term "0.01(2x)" and the total cost can be expressed as "2x+0.01(2x)"

If you apply the logic followed in the example for the given expression:

"70h" represents the ground price for the computer repair, which means that it costs $70 per hour.

And the term multiplied by the decimal value "0.08(70h)" represents the taxes she has to pay for the repair.