3 A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation
will correctly determine the total cost, C, of buying an item with an original price of p, after
the discount and sales tax are included? Select all that apply.
A C= 1.08p - 0.15p
B C = 1.15p + 0.08p
C C= 1.08(0.85p)
D C = 0.85p + (0.08)0.85p
E C=p - 0.15p + 0.08p

Respuesta :

The right answer is Option D: [tex]C = 0.85p + (0.08)0.85p[/tex]

Step-by-step explanation:

Given,

Discount = 15% off

Sales tax = 8%

Total cost of an item = C

Original price of item = p

Amount of discount = [tex]\frac{15}{100}p = 0.15p[/tex]

Price of item after discount = Original price - Amount of discount

Price of item after discount = p - 0.15p = 0.85p

Sales tax = 8% of price after discount

Sales tax = [tex]\frac{8}{100}*0.85p=(0.08)(0.85p)[/tex]

Price of item after sales tax = Price after discount + Sales tax

[tex]C = 0.85p + (0.08)0.85p[/tex]

[tex]C = 0.85p + (0.08)0.85p[/tex] determines the cost of item after discount and sales tax.

The right answer is Option D: [tex]C = 0.85p + (0.08)0.85p[/tex]

Keywords: sales tax, addition

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