The price of a certain item is D dollars. The sales tax on the item is 8.5%. Which expression represents the total cost of the item, in dollars, after the tax has been applied? (choose 2)
Responses
A 0.085D0.085 D
B (1 + 0.085)D(1 + 0.085) D
C 1.085D 1.085 D
D 1.85D1.85 D
E (1 – 0.085)D
The correct responses are B (1 + 0.085)D and C 1.085D.
Option B is correct because it represents the price of the item (D dollars) plus the added tax (8.5% of D dollars).
Option C is also correct because the total cost of the item includes the price of the item (1D) and the tax (.085D).
Both expressions would give the same result: the cost of the item after tax.
The correct expressions that represent the total cost of the item, in dollars, after the tax has been applied are:
C) 1.085D
and
B) (1 + 0.085)D
To calculate the total cost of the item after the tax has been applied, you need to add the original price of the item and the sales tax.
The sales tax is 8.5% of the original price, which means it is 8.5/100 times the original price. In other words, it is 0.085 times the original price.
So, to calculate the total cost, you can multiply the original price by 0.085 and then add it to the original price.
Using the given options, we can analyze them:
Option A: 0.085D - This represents only the sales tax, not the total cost after the tax has been applied.
Option B: (1 + 0.085)D - This represents the original price plus the sales tax, which is the correct expression.
Option C: 1.085D - This represents only the total cost after the tax has been applied. It is missing the original price.
Option D: 1.85D - This is not the correct expression since it doesn't account for the 8.5% sales tax.
Option E: (1 - 0.085)D - This represents the original price minus the sales tax, which is not the correct expression.
Therefore, the correct expressions representing the total cost of the item, in dollars, after the tax has been applied are:
B. (1 + 0.085)D
C. 1.085D