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? Please show steps to this composite function.

Question

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? Please show steps to this composite function.

dtan5457 · Answer

Give me a couple minutes, I can help you with this question.

dtan5457 · Answer

Ok. well you need two simple equations. 
FOR USING THE COUPON FIRST: (p-5)(0.85) 
FOR USING THE DISCOUNT FIRST: (0.85)p)-7

so now, plug in any price for the pizza. for example, let's say the pizza was originally $20.

(20-5)=15 times .85=$12.75<<<<using the coupon first

0.85(20)-7=$10<<<<using the discount first.

You will definitely save money using the discount first, then the coupon.

^^that's using the sample of $20 large pizza

mama2dylan · Answer

Thanks @dtan5457 if the answer is 75 cents what is the function?

directrix · Answer

Argument for all values of p: http://openstudy.com/users/mama2dylan#/updates/5493759de4b0132219cb0183