To determine which term represents the cost of the shoes after the discount, follow these steps:
1. Understanding the Discount:
- The store offers a [tex]\( 25\% \)[/tex] discount on all shoes. This means you are paying [tex]\( 75\% \)[/tex] of the original shoe cost after the discount.
2. Representing the Discount Mathematically:
- Let [tex]\( s \)[/tex] represent the original cost of the shoes.
- After a [tex]\( 25\% \)[/tex] discount, the cost of the shoes becomes [tex]\( 75\% \)[/tex] of [tex]\( s \)[/tex]. This can be written as:
[tex]\[
\text{Discounted Shoe Cost} = (1 - 0.25)s = 0.75s
\][/tex]
3. Identifying the Correct Term:
- Looking at the given options:
- [tex]\( (1-0.25)s \)[/tex] simplifies to [tex]\( 0.75s \)[/tex], which directly represents the cost of the shoes after applying the [tex]\( 25\% \)[/tex] discount.
4. Verification in the Expression:
- The full expression given is [tex]\( c + (1-0.25)s + 0.08[c + (1-0.25)s] \)[/tex].
- Within this, [tex]\((1-0.25)s\)[/tex] signifies the adjusted shoe cost before tax.
Thus, the term that represents the cost of the shoes after the discount is:
[tex]\[
\boxed{(1-0.25) s}
\][/tex]
