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? The answer is 75 cents please show how steps using a 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?  The answer is 75 cents please show how steps using a composite function.

funnyguy2 · Answer

how much money does it start out with

mama2dylan · Answer

That's the thing, it doesn't say!

mama2dylan · Answer

https://www.connexus.com/extra/thirdPartyProviders/pearson/algebra_2_etext/?pageid=442

sleepyjess · Answer

I can't view that link. Could you take a screenshot?

mama2dylan · Answer

Sure @sleepyjess hold on.

mama2dylan · Answer

This is a 2 page example from the book of what they are looking for using different figures.

directrix · Answer

Let p = cost of pizza. 

Coupon cost of pizza = p - 5
Let c(p) = p - 5 

Discount cost of pizza = p  - .15p = .85p 
Let d(p) = .85 p

directrix · Answer

C (D(p) = C  (.85p ) = .85p - 5

directrix · Answer

D ( C(p)) = D (p - 5) = .85 * (p - 5) = .85p - 4.25

directrix · Answer

Compare:

C (D(p) =85p - 5

with 

D ( C(p) = .85p - 4.25

directrix · Answer

.85p - 5  versus  .85p - 4.25

Differ by 5 - 4.25 = $.75 = 75 cents           @mama2dylan

directrix · Answer

Coupon followed by 15% discount saves 75 cents.