A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.
C = 0.765x + 0.06(0.765x)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?
I don't see how your formula is related to the data given in the question
cost to Chris before any sales tax is added would be
100(.85)(.9) = 76.50
(the single discount equivalent to consecutive discounts of 15% and 10% i
>985)(.9) = .765
Is there a sales tax of 6% which shows up in your formula, but is not mentioned in the question ? )
To calculate how much Chris will pay for the coat during the sale, we need to substitute the values into the equation C = 0.765x + 0.06(0.765x) and solve for C.
Given:
Original price (x) = $100
Substituting the value of x into the equation:
C = 0.765(100) + 0.06(0.765 * 100)
Now let's simplify the equation and calculate:
C = 0.765 * 100 + 0.06 * 0.765 * 100
C = 76.5 + 4.617
C = 81.117
Therefore, Chris will pay $81.12 for the coat during the sale.