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 t he game.Write an expression that can be used to determine the final cost of the game
2 answers:
Answer:
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 <em>before </em>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<u> (0.82*1.08)y = 0.8856y.</u>
Final cost = y * (1-.18) * ( 1 + .08)
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