To determine which term represents the cost of the shoes after the discount from the given expression, let's carefully analyze the problem.
We know that Rosalie gets a 20% discount on the shoes. The original price of the shoes is denoted by [tex]\( s \)[/tex].
1. Calculate the discount on the shoes:
A 20% discount means Rosalie pays only 80% of the original price. We calculate this as follows:
[tex]\[
\text{Discounted price} = (1 - 0.2) \cdot s
\][/tex]
Simplifying this:
[tex]\[
\text{Discounted price} = 0.8s
\][/tex]
2. Analyze the expression:
The total cost expression given is:
[tex]\[
c + (1 - 0.2)s + 0.07[c + (1 - 0.2)s]
\][/tex]
Here:
- [tex]\( c \)[/tex] is the cost of the clothes.
- [tex]\( (1-0.2)s \)[/tex] represents the price paid for the shoes after the discount.
- [tex]\( 0.07[c + (1-0.2)s] \)[/tex] represents the 7% tax on the total amount spent.
3. Identify the term for discounted shoes:
The term we are focused on is the one that directly calculates the cost of the shoes after the 20% discount, which is:
[tex]\[
(1-0.2)s
\][/tex]
Therefore, the term that represents the cost of the shoes after the discount is:
[tex]\[
\boxed{(1-0.2) s}
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{C. (1-0.2) s}
\][/tex]
