Fwam bought pp pencils that cost $0.25 each. Sales tax is 8.75%. Which expression represents the total amount Fwam paid, including tax?

Question

Answer
Multiple Choice Answers
0, point, 2, 5, left parenthesis, 0, point, 0, 8, 7, 5, p, right parenthesis0.25(0.0875p)
0, point, 0, 8, 7, 5, left parenthesis, 0, point, 2, 5, p, right parenthesis, plus, 0, point, 2, 5, p0.0875(0.25p)+0.25p
0, point, 2, 5, plus, 0, point, 0, 8, 7, 5, left parenthesis, 0, point, 2, 5, right parenthesis0.25+0.0875(0.25)
1, point, 0, 8, 7, 5, p1.0875p

Answer 1

To find the total amount Fwam paid for the pencils including sales tax, we need to calculate the cost of the pencils and then add the tax on that cost.

1. The cost of the pencils (pp pencils at $0.25 each) is: \[ 0.25p \]

2. The sales tax is 8.75%, which can be represented as a decimal: \[ 0.0875 \]

3. The total sales tax on the pencils is: \[ 0.0875 \times (0.25p) \]

4. Therefore, the total cost including tax can be calculated as: \[ \text{Total cost} = \text{Cost of pencils} + \text{Sales tax} \] \[ = (0.25p) + (0.0875 \times (0.25p)) \]

5. Factoring out \(0.25p\) gives: \[ = 0.25p(1 + 0.0875) = 0.25p \times 1.0875 \] \[ = 1.0875p \]

Thus, the expression representing the total amount Fwam paid, including tax, is: \[ 1.0875p \]

The correct answer from the choices given is: 1.0875p