Final answer:
To find the total cost of a cell phone case after a discount and sales tax, one must calculate the discounted price and then add the sales tax to that price. After discounting the original price of $25 by 15% and including a 6% sales tax, the total comes to approximately $22.53, making option A the closest correct answer.
Step-by-step explanation:
The student is asking how to calculate the total cost of a cell phone case after a discount and the addition of sales tax. To solve this, we'll follow two main steps: calculation of the discounted price, and applying the sales tax to that discounted price.
Calculating the Discounted Price:
$25 (original price) × 0.15 (15% discount) = $3.75 (amount saved)
$25 - $3.75 = $21.25 (discounted price)
Adding Sales Tax:
To find the amount of sales tax, we convert the percent to a decimal and then multiply by the discounted cost.
$21.25 × 0.06 (6% sales tax) = $1.275, which we round to $1.28.
$21.25 + $1.28 equals a total of $22.53.
The final step is to find the answer closest to $22.53 from the options given by the student (A to D). The correct answer would be option A, $23.56, after rounding to the nearest cent.