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 original price of the cards. Write an expression that can be used to determine the final cost of the cards.

a) 1.06 × 0.78 × y
b) 1.22 × 1.06 × y
c) 0.78 × 1.22 × y
d) 1.22 × y

Answer 1

The correct expression to find the final cost of the game cards with a 22% discount and an additional 6% sales tax is 1.06 × 0.78 × y. This calculation takes into account the discount and then applies the sales tax to the discounted price.

Step-by-step explanation:

The expression to determine the final cost of the game cards that Jackson purchased, which were on sale for 22% off, with an additional sales tax of 6%, can be written by first calculating the discounted price of the cards and then adding the sales tax to the discounted price. Let y represent the original price of the cards.

The discount of 22% off means that Jackson will pay 100% - 22% of the original price, which can be converted to a decimal as 1 - 0.22 = 0.78. So, the discounted price is 0.78 × y.

Next, the sales tax of 6% is added to the discounted price. The sales tax rate as a decimal is 0.06. Therefore, the total amount Jackson pays after including sales tax is the discounted price plus the discounted price multiplied by the sales tax rate, which is 0.78 × y × (1 + 0.06). Simplifying the expression, we get

1.06 × 0.78 × y

This corresponds to choice (a) from the given options.