Gabriella bought ff folders that cost $0.30 each and mm markers that cost $0.60 each. Sales tax is 3%. Which expression represents the total amount Gabriella paid, including tax?

Question

Answer
Multiple Choice Answers
left parenthesis, 0, point, 3, plus, 0, point, 6, right parenthesis, plus, 0, point, 0, 3, left parenthesis, 0, point, 3, plus, 0, point, 6, right parenthesis(0.3+0.6)+0.03(0.3+0.6)
0, point, 3, left parenthesis, 0, point, 0, 3, f, right parenthesis, plus, 0, point, 6, left parenthesis, 0, point, 0, 3, m, right parenthesis0.3(0.03f)+0.6(0.03m)
0, point, 0, 3, left parenthesis, 0, point, 3, f, plus, 0, point, 6, m, right parenthesis, plus, left parenthesis, 0, point, 3, f, plus, 0, point, 6, m, right parenthesis0.03(0.3f+0.6m)+(0.3f+0.6m)
1, point, 0, 3, left parenthesis, f, plus, m, right parenthesis1.03(f+m)

Answer 1

To find the total amount Gabriella paid, including tax, we first need to calculate the total cost of the folders and markers before tax, and then apply the sales tax.

1. Calculate the total cost before tax:

   • Cost for folders: \(0.30f\)
   • Cost for markers: \(0.60m\)
   • Total cost before tax: \(0.30f + 0.60m\)

2. Calculate the total cost including tax:

   • Sales tax is 3%, so the tax can be calculated as: \(0.03 \times (0.30f + 0.60m)\)
   • Therefore, the total amount Gabriella paid including tax is: \[ (0.30f + 0.60m) + 0.03(0.30f + 0.60m) = (1 + 0.03)(0.30f + 0.60m) = 1.03(0.30f + 0.60m) \]

Looking at the multiple-choice options provided:

1. \((0.3 + 0.6) + 0.03(0.3 + 0.6)\) (not correct)
2. \(0.3(0.03f) + 0.6(0.03m)\) (not correct)
3. \(0.03(0.3f + 0.6m) + (0.3f + 0.6m)\) (this is correct but can be simplified)
4. \(1.03(f + m)\) (this looks more accurate but does not represent the correct price of folders and markers)

The best representation of the total amount Gabriella paid, including tax, based on the breakdown is option 3, but explicitly, the total should be:

\[ 1.03(0.3f + 0.6m) \]

So, depending on how closely the options match the desired outcome, solution 3 is the closest. However, if option 4 were re-expressed correctly regarding the prices, we may need to clarify. If we consider that the effective unit cost of folders and markers simplifies directly, the answer seems best summed as

( 1.03(0.30f + 0.60m) )

If choice 4 aligns closely to express the total with proper terms factored, it seems the most appropriate. Thus, the last one might not express the correct cost items explicitly but indicates the total conceptually well. Therefore, please note the correct interpretation!