Answer :
Let's break down the cost of Vera's purchase in detail:
1. Cost of each type of print:
- For the 3 prints of [tex]$5 \times 7$[/tex] at [tex]$0.89 each: \[ 3 \times 0.89 = 2.67 \, \text{dollars} \] - For the 12 prints of $[/tex]4 \times 6[tex]$ at $[/tex]0.15 each:
[tex]\[ 12 \times 0.15 = 1.80 \, \text{dollars} \][/tex]
- For the 1 print of [tex]$8 \times 10$[/tex] at [tex]$2.99: \[ 1 \times 2.99 = 2.99 \, \text{dollars} \] 2. Cost of the photo album: \[ 8.69 \, \text{dollars} \] 3. Subtotal (sum of all items purchased): \[ 2.67 + 1.80 + 2.99 + 8.69 = 16.15 \, \text{dollars} \] 4. Tax calculation (7% of the subtotal): \[ 16.15 \times 0.07 = 1.1305 \approx 1.13 \, \text{dollars} \] 5. Total before shipping (subtotal + tax): \[ 16.15 + 1.13 = 17.28 \, \text{dollars} \] 6. Shipping charges based on the table: - Since Vera's total before shipping is $[/tex]17.28, which is less than [tex]$20, she qualifies for free standard shipping. 7. Final total cost (total before shipping + shipping): \[ 17.28 + 0 = 17.28 \, \text{dollars} \] Given that Vera was billed $[/tex]20.78:
[tex]\[ \text{Billed amount} - \text{Calculated amount} = 20.78 - 17.28 = 3.50 \, \text{dollars} \][/tex]
Thus, Vera has been overcharged by [tex]$3.50. Therefore, the best answer is: d. Vera has been overcharged by $[/tex]3.50 for her purchase.
1. Cost of each type of print:
- For the 3 prints of [tex]$5 \times 7$[/tex] at [tex]$0.89 each: \[ 3 \times 0.89 = 2.67 \, \text{dollars} \] - For the 12 prints of $[/tex]4 \times 6[tex]$ at $[/tex]0.15 each:
[tex]\[ 12 \times 0.15 = 1.80 \, \text{dollars} \][/tex]
- For the 1 print of [tex]$8 \times 10$[/tex] at [tex]$2.99: \[ 1 \times 2.99 = 2.99 \, \text{dollars} \] 2. Cost of the photo album: \[ 8.69 \, \text{dollars} \] 3. Subtotal (sum of all items purchased): \[ 2.67 + 1.80 + 2.99 + 8.69 = 16.15 \, \text{dollars} \] 4. Tax calculation (7% of the subtotal): \[ 16.15 \times 0.07 = 1.1305 \approx 1.13 \, \text{dollars} \] 5. Total before shipping (subtotal + tax): \[ 16.15 + 1.13 = 17.28 \, \text{dollars} \] 6. Shipping charges based on the table: - Since Vera's total before shipping is $[/tex]17.28, which is less than [tex]$20, she qualifies for free standard shipping. 7. Final total cost (total before shipping + shipping): \[ 17.28 + 0 = 17.28 \, \text{dollars} \] Given that Vera was billed $[/tex]20.78:
[tex]\[ \text{Billed amount} - \text{Calculated amount} = 20.78 - 17.28 = 3.50 \, \text{dollars} \][/tex]
Thus, Vera has been overcharged by [tex]$3.50. Therefore, the best answer is: d. Vera has been overcharged by $[/tex]3.50 for her purchase.