Mrs. Diaz needs a new whiteboard for her classroom. She can buy it from Office Supply for $49.99 with a 15% teacher discount, or from Office Wholesale for $47.99 with a $10 rebate. Find the final price that Mrs. Diaz has to pay for the whiteboard after the better incentive is applied. Round the answer to two decimal places.(1 point)

1 answer

To find out which option is better for Mrs. Diaz, we need to calculate the final price for each option after applying the respective discounts and rebates.

Option 1: Office Supply

  • Price before discount: $49.99
  • Teacher discount: 15%

Calculating the discount amount: \[ \text{Discount} = 49.99 \times 0.15 = 7.4985 \]

Now, subtract the discount from the original price: \[ \text{Final Price} = 49.99 - 7.4985 = 42.4915 \] Rounding to two decimal places: \[ \text{Final Price} \approx 42.49 \]

Option 2: Office Wholesale

  • Price before rebate: $47.99
  • Rebate: $10

Calculating the final price after applying the rebate: \[ \text{Final Price} = 47.99 - 10 = 37.99 \]

Comparison:

  • Final price at Office Supply: $42.49
  • Final price at Office Wholesale: $37.99

The better price is from Office Wholesale: \[ \text{Final Price} = 37.99 \]

Thus, the final price that Mrs. Diaz has to pay for the whiteboard after the better incentive is applied is $37.99.