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? (1 point) Responses $.75 $.75 $0.00 $0.00 $.05 $.05 $1.05
To determine how much more you would pay for a large pizza if the coupon is applied first, we need to compare the two scenarios: applying the coupon first and applying the 15% discount first.
Let's say the original price of the large pizza is $p.
If the coupon is applied first, the price of the pizza will be reduced by $5, so the new price will be $p - $5.
If the 15% discount is applied first, the price of the pizza will be reduced by 15%, so the new price will be 0.85p.
To calculate the difference, we subtract the price when the 15% discount is applied first from the price when the coupon is applied first:
($p - $5) - (0.85p)
Simplifying this expression, we get:
$p - $5 - 0.85p
= $p - 0.85p - $5
= (1p - 0.85p) - $5
= 0.15p - $5
Therefore, the amount you would pay more for a large pizza if the coupon is applied first, rather than the 15% discount first, is 0.15p - $5.
The correct answer cannot be determined without knowing the value of p.