during a sale, a music store is selling all drum kits for 20 percent off. Preferred customers also receive an additional fifteen percent off. Write a composite function to represent the final cost of a kit that originally cost c dollars. Find the cost of a drum kit price at 248 dollars that a preferred customer wants to buy.
which statement describes the basic error in the solution?
To find the final cost of a drum kit after applying both the 20 percent off discount and the additional 15 percent off discount for preferred customers, we can use a composite function.
Let's break down the process step-by-step:
1. Apply the 20 percent off discount: The price after this discount would be 80 percent of the original cost. We can calculate this by multiplying the original price (c dollars) by 0.8.
2. Apply the additional 15 percent off discount for preferred customers: The price after this discount would be 85 percent of the price after the 20 percent off discount. We can calculate this by multiplying the price after applying the 20 percent off discount by 0.85.
Now, let's write the composite function using c as the original cost:
f(c) = 0.85 * (0.8 * c)
To find the cost of a drum kit originally priced at $248 that a preferred customer wants to buy, we substitute c = 248 into the composite function:
f(248) = 0.85 * (0.8 * 248)
= 0.85 * 198.4
= $168.64
Therefore, the final cost of the drum kit that the preferred customer wants to buy is $168.64.