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Emerson purchased a game that was on sale for 18% off. The sales tax in his county 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.

Sagot :

Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:

  • [tex]C = 0.8856y[/tex]

Decimal multipliers:

  • The equivalent multiplier for an increase of a% is given by: [tex]\frac{100 + a}{100}[/tex]
  • The equivalent multiplier for an decrease of a% is given by: [tex]\frac{100 - a}{100}[/tex]

In this problem:

  • Purchase for 18% off, hence decrease of 18%, that is, [tex]\frac{100 - 18}{100} = 0.82[/tex].
  • Sales tax of 8%, hence, an increase of 8%, that is, [tex]\frac{100 + 8}{100} = 1.08[/tex].

Applying both multipliers, the expression is:

[tex]C = y(0.82)(1.08) = 0.8856y[/tex]

To learn more about decimal multipliers, you can take a look at https://brainly.com/question/19808269

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