You have a coupon good for $5 off the price, p, of any large pizza. You also get a 15% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first, rather than the 15% discount first?

Question

(1 point)
Responses

$.75
$.75

$0.00
$0.00

$.05
$.05

$1.05
$1.05

Answer 1

$1.05

If the coupon is applied first, the price of the large pizza would be p - $5. Then, the 15% discount would be applied to this reduced price.

So, the final price would be (p - $5) - 0.15(p - $5) = 0.85p - $4.25

If the 15% discount is applied first, the price of the large pizza would be 0.85p. Then, the $5 coupon would be applied to this reduced price.

So, the final price would be 0.85p - $5

The difference between the two final prices is (0.85p - $4.25) - (0.85p - $5) = $0.75

Therefore, you would pay $0.75 more if the cashier applies the coupon first rather than the 15% discount first.