Emerson purchased a game that was on sale for 18% off. The sales tax in his country is 8%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game

0.8856y

Step-by-step explanation:

Let y represent the original price of the game.

game was on sale for 18% off, sale price = (1-18%) * y

= (1-0.18) * y

=0.82y

sales tax in his country is 8%

final cost=sale price+tax

=0.82y+0.82y*8%

=0.82y+0.82y*0.08

=0.82y+0.0656y

=0.8856y

Since you can say that 82% is 0.82, for the product before taxes he paid 0.82y.

He also had to pay taxes, which is 8% or, in other words, he paid 108% for the game. Since 108% is 1.08, so for the game he paid (0.82*1.08) y = 0.8856y.

Final cost = y * (1-.18) * (1 +.08)