During a sale, a music store is selling all drum kits for 20% off. Preferred customers also receive an additional 15% off.

Question

1. Write a composite function to represent the final cost of a kit that originally cost c dollars.
2. Find the cost of a drum kit priced at $248 that a preferred customer wants to buy.

Answer 1

5a) g(c)= c-0.2c which means 0.8c
f(c)= c-0.15c which means 0.85c
Then you find the composition of
g(f(c))= g (0.85)
= 0.8 (0.85)
= 0.68c
5b) use 0.68c
= 0.68(248)
= $168.64