To determine which term represents the cost of the shoes after the discount, let's break down the given expression and understand each part:
The total cost expression is:
[tex]\[ c + (1 - 0.2)s + 0.07[c + (1 - 0.2)s] \][/tex]
Here, [tex]\(c\)[/tex] represents the cost of the clothes Rosalie purchases, and [tex]\(s\)[/tex] represents the original cost of the shoes.
1. Initial Cost of Shoes
- The original cost of the shoes is [tex]\(s\)[/tex].
2. Discount on the Shoes
- The store offers a [tex]\(20\%\)[/tex] discount, which is calculated as [tex]\(0.2 \times s\)[/tex].
- Therefore, the discount amount is [tex]\(0.2s\)[/tex].
3. Cost of Shoes After Discount
- To find the cost after the discount, subtract the discount from the original cost:
[tex]\[
s - 0.2s = (1 - 0.2)s
\][/tex]
So, the term [tex]\((1-0.2)s\)[/tex] accurately represents the cost of the shoes after applying the [tex]\(20\%\)[/tex] discount.
Therefore, among the given choices, the term that represents the cost of the shoes after the discount is:
A. [tex]\((1-0.2)s\)[/tex]
