To determine which term represents the cost of the shoes after the discount, we need to break down the given expression and understand each component:
The expression representing Rosalie's total cost (including 7% tax) is:
[tex]\[ c + (1 - 0.2) s + 0.07 [c + (1 - 0.2) s] \][/tex]
Let's analyze each part of this expression:
1. [tex]\( c \)[/tex]: This term represents the cost of the clothes Rosalie purchases.
2. [tex]\( (1 - 0.2) s \)[/tex]: This term represents the cost of the shoes after applying the discount.
- [tex]\( s \)[/tex] is the original cost of the shoes.
- [tex]\( 1 - 0.2 = 0.8 \)[/tex], so the term becomes [tex]\( 0.8s \)[/tex], indicating that the shoes are being sold at 80% of their original price after applying a 20% discount.
3. [tex]\( 0.07 [c + (1 - 0.2) s] \)[/tex]: This term represents the 7% tax applied to the total cost of both the clothes and the discounted shoes.
From the above explanation, we see that the term [tex]\( (1 - 0.2) s \)[/tex] stands for the cost of the shoes after the 20% discount is applied.
So the correct answer is:
C. [tex]\((1-0.2) s\)[/tex]
