Ethan goes to a store an buys an item that costs xx dollars. He has a coupon for 5% off, and then a 9% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Ethan paid at the register.

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Answer:

Final Cost= 1.09(xx - .05xx)

Step-by-step explanation:

Since its 9% tax on the new price you would take the new price which would be 1.0 and add the .09 of tax. So its ×1.09 to get the tax.

The expression for the total cost is 1.09(xx-(0.05)xx).

What is total cost?

The total cost is the amount calculated after any discount for an item and along with the tax incurred for an item to be purchased.

For the given situation,

Ethan buys an item that costs xx dollars.

He has discount coupon of 5% = 0.05

The tax percentage is 9% = 0.09

The discounted amount will get less from the cost price. So,

⇒ [tex]xx-(0.05)xx[/tex]

The tax amount for the item will get added to the final cost of an item. Thus the expression becomes,

⇒ [tex]1.09(xx-(0.05)xx)[/tex]

Hence we can conclude that the expression for the total cost is    1.09(xx-(0.05)xx).

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