kest kuy is offering a sale on its laptop computers with a 20 percent discount off its original price. there is 8% sales tax added to the discounted price to get the final price of the computer. if x is the original price and y is the final price, write an equation to determine the final price based upon the original price.

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MrRoyal MrRoyal · Answer 1 · 2020-10-13T02:21:22+02:00

Answer:

[tex]y = 0.88x[/tex]

Step-by-step explanation:

Given

[tex]Discount = 20\%[/tex]

[tex]Sales\ Tax = 8\%[/tex]

Required

Determine the final price

First, we need to determine the sales price after the discount.

[tex]Discount = 20\% * x[/tex]

[tex]Discount = 0.20 * x[/tex]

[tex]Discount = 0.20x[/tex]

[tex]Sales\ Price = x - Discount[/tex]

[tex]Sales\ Price = x - 0.20x[/tex]

[tex]Sales\ Price = 0.80x[/tex]

Next, is to determine the sales tax.

[tex]Sales\ Tax = 8\% * x[/tex]

[tex]Sales\ Tax = 0.08 * x[/tex]

[tex]Sales\ Tax = 0.08x[/tex]

Final Price, y is then calculated as thus:

[tex]y = Sales\ Price + Sales\ Tax[/tex]

[tex]y = 0.80x + 0.08x[/tex]

[tex]y = 0.88x[/tex]