Question

The cost of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select each correct answer.

a) 1.07P
b) P + 0.07P
c) 0.07P
d) P - 0.07P

Answer 1

The total cost of the item, including the sales tax, can be calculated by multiplying the cost of the item by 1 plus the sales tax rate (as a decimal). The correct expressions to represent the total cost are 1.07P and P + 0.07P.

Correct option is a and b.

Step-by-step explanation:

The total cost of the item, including the sales tax, can be calculated by multiplying the cost of the item by 1 plus the sales tax rate (as a decimal). This can be represented by the expression 1.07P.

Let's break it down:

1. The original cost of the item is P dollars.
2. The sales tax rate is 7%, which can be written as 0.07 as a decimal.
3. Adding the sales tax to the original cost of the item gives us the total cost, which is represented by P + 0.07P.

So, the correct expressions to represent the total cost of the item after the tax has been applied are: a) 1.07P and b) P + 0.07P.