Let's determine if Glenda has been billed correctly for her purchase by going through the necessary calculations step-by-step.
### Step 1: Calculate the subtotal for frames and mats
- Price of one picture frame: [tex]$12.95
- Number of picture frames bought: 4
- Subtotal for frames: \( 12.95 \times 4 = 51.80 \)
- Price of one mat: $[/tex]5.89
- Number of mats bought: 4
- Subtotal for mats: [tex]\( 5.89 \times 4 = 23.56 \)[/tex]
- Total purchase before tax: [tex]\( 51.80 + 23.56 = 75.36 \)[/tex]
### Step 2: Calculate the tax amount
- Tax rate: 6.5%
- Tax amount: [tex]\( 75.36 \times 0.065 = 4.8984 \)[/tex]
### Step 3: Calculate the total purchase price after tax
- Total purchase after tax: [tex]\( 75.36 + 4.8984 = 80.2584 \)[/tex]
### Step 4: Determine the express shipping cost
From the given shipping table:
- Since the total purchase after tax of [tex]\( 80.2584 \)[/tex] is between [tex]$50 and $[/tex]100, the express shipping cost is [tex]$8.20.
### Step 5: Calculate the final total amount
- Final total amount: \( 80.2584 + 8.20 = 88.4584 \)
### Step 6: Compare the billed amount with the calculated total
- Amount billed: $[/tex]91.86
- Correct total amount: [tex]$88.4584
The difference between the billed amount and the correct total amount: \( 91.86 - 88.4584 = 3.4016 \)
Since the difference is approximately $[/tex]3.40, the closest match is:
c. Glenda has been overcharged by \$3.40 for her purchase.
