Zoey goes to a store an buys an item that costs x dollars. She has a coupon for 15% off, and then a 9% tax is added to the discounted price.

Zoey goes to a store an buys an item that costs x dollars. She has a coupon for 15% off, and then a 9% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Zoey paid at the register.

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  1. Answer:

    0.9265x

    Step-by-step explanation:

    x – 0.15x + 0.09(0.85x)

    x is the initial amount, -0.15x is subtracting 15% of the original amount (leaving 0.85x), and 0.09(0.85x) is the 9% tax.

    Simplified:

    x – 0.15x + 0.09(0.85x)

    = 0.85x + 0.0765x

    = 0.9265x

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