Sophia bought ff folders that cost $0.95 each and mm markers that cost $0.85 each. Sales tax is 7.75%. Which expression represents the total amount Sophia paid, including tax?

Question

Answer
Multiple Choice Answers
1, point, 0, 7, 7, 5, left parenthesis, 0, point, 9, 5, plus, 0, point, 8, 5, right parenthesis1.0775(0.95+0.85)
1, point, 0, 7, 7, 5, left parenthesis, 0, point, 9, 5, f, plus, 0, point, 8, 5, m, right parenthesis1.0775(0.95f+0.85m)
0, point, 9, 5, left parenthesis, 0, point, 0, 7, 7, 5, f, right parenthesis, plus, 0, point, 8, 5, left parenthesis, 0, point, 0, 7, 7, 5, m, right parenthesis0.95(0.0775f)+0.85(0.0775m)
left parenthesis, f, plus, m, right parenthesis, plus, 0, point, 0, 7, 7, 5, left parenthesis, f, plus, m, right parenthesis(f+m)+0.0775(f+m)

Answer 1

To find the total amount Sophia paid, including tax, we can break it down into steps:

1. Calculate the total cost of the folders and markers before tax.
2. Apply the sales tax to the total cost.

Let's represent:

• \( f \) as the number of folders bought,
• \( m \) as the number of markers bought.

The cost of folders: \( 0.95f \)

The cost of markers: \( 0.85m \)

Thus, the total cost before tax is:

\[ 0.95f + 0.85m \]

Next, to include the 7.75% sales tax, we multiply the total cost by \( 1.0775 \):

\[ \text{Total cost including tax} = 1.0775(0.95f + 0.85m) \]

Now, let's identify which of the provided expressions matches this calculation:

• The correct expression representing the total amount Sophia paid, including tax, is:

\[ \textbf{1.0775(0.95f + 0.85m)} \]

So, the correct answer is:

1, point, 0, 7, 7, 5, left parenthesis, 0, point, 9, 5, f, plus, 0, point, 8, 5, m, right parenthesis1.0775(0.95f + 0.85m)