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?

Question

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?

anonymous · Answer

This is a calculator problem.  You have the formula.  Plug in 100 for x and get the answer.

anonymous · Answer

um is it 5852.709

anonymous · Answer

Think about it.  It's a hundred dollar item.  If you get it with two discounts, you pay less.  How does that answer make any sense?

anonymous · Answer

um idk im so confused can u show me how u would start it?

anonymous · Answer

$$C(x) = 0.765x + 0.06(0.765x)=1.06(.765)x \implies C(100)=1.06(.765)(100)$$

anonymous · Answer

hmm.... stilll confused

anonymous · Answer

The first step is the distributive property.  The second is substitution for the amount the item costs.  Do your own homework.