Final answer:
The difference in the final price for a $15 pizza after a $5 coupon and a 20% student discount is applied is $1.00 more if the coupon is applied before the discount.
Step-by-step explanation:
The student's question revolves around applying a coupon and a percentage discount to the price of a pizza and determining the difference in final price based on the order of these applications.
Let's calculate the price of a large pizza applying the coupon first, then the student discount:
Original price of pizza = $15.00
Price after $5 coupon = $15.00 - $5.00 = $10.00
Applying 20% student discount to $10.00 = $10.00 - ($10.00 * 0.20) = $10.00 - $2.00 = $8.00
Now, let's calculate the price of the pizza applying the student discount first, then the coupon:
Original price of pizza = $15.00
Applying 20% student discount to $15.00 = $15.00 - ($15.00 * 0.20) = $15.00 - $3.00 = $12.00
Price after $5 coupon = $12.00 - $5.00 = $7.00
Therefore, the difference in price based on the application order of the discounts is:
$8.00 (coupon first) - $7.00 (discount first) = $1.00 more if the coupon is applied first.