The total cost after tax to repair Deborah's computer is represented by 0.06(50h) + 50h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah must pay? Explain.

Answer 1

The expression representing the total cost after tax to repair Deborah's computer is \(0.06(50h) + 50h\).

In this expression, \(50h\) represents the base cost of the repair, where \(h\) is the number of hours it takes to repair the computer, and the cost per hour is $50.

The part of the expression that represents the amount of tax Deborah must pay is \(0.06(50h)\). Here's why:

• The term \(0.06(50h)\) calculates 6% of the base cost of the repair. The multiplier \(0.06\) represents the tax rate, and when you multiply it by the base cost \(50h\), you get the actual amount of tax that needs to be paid on that base cost.

So, in summary, the tax amount is given by the term \(0.06(50h)\).