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?
C = 0.765x + 0.06(0.765x)
= .8109 x
.8109 * 100 = $81.09
This is incorrect
To calculate how much Chris will pay for the coat during the sale, we need to substitute the original price of the coat into the equation for C.
Given: x = $100
Now we substitute x = $100 into the equation for C:
C = 0.765x + 0.06(0.765x)
C = 0.765($100) + 0.06(0.765($100))
First, we calculate 0.765($100):
0.765($100) = $76.50
Next, we calculate 0.06(0.765($100)):
0.06(0.765($100)) = 0.06($76.50)
0.06($76.50) = $4.59
Now we substitute the values we calculated back into the original equation:
C = $76.50 + $4.59
Finally, we add the amounts:
C = $81.09
Therefore, Chris will pay $81.09 for the coat during the sale.
To find out how much Chris will pay for the coat during the sale, we can substitute the original price of the coat into the equation for C and solve for C.
Given that x, the original price of the item, is $100, we can substitute this value into the equation:
C = 0.765x + 0.06(0.765x)
C = 0.765($100) + 0.06(0.765($100))
C = $76.50 + 0.06($76.50)
Now, we can evaluate the expression:
C = $76.50 + $4.59
C = $81.09
Therefore, Chris will pay $81.09 for the coat during the sale.