Question

Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the oeiginal price of the card.. Wrote an expression that can be used to determine the final cost of the cards.

Answer 1

Given:

Discount - 22% = 0.22

Sales Tax - 6% = 0.06

Required:

Expression for the final cost of the cards, x

Solution:

Let: y represent the original price of the card.

x represent the final cost of the cards

D represent the discounted cost of the cards

Assume that the the sales tax is applied to the price after the discount.

D= Original Price ( 1 - Discount) = y ( 1 - 0.22) = 0.78y

To compute for the final cost,

Final Cost = D + Tax

Tax = 0.06 D

x = D + 0.6(D)

x = 1.06D

x = 1.06 ( 0.78 y)

x = 0.827y

Answer:

The final cost of the card can be describe by the expression:

x = 0.827y