Final answer:
The cost of the shoes after a 20% discount is represented by the term (1 - 0.2)s, which simplifies to 0.8s, showing the price with the discount subtracted from the original.
Step-by-step explanation:
The term that represents the cost of the shoes after the discount is A. (1 - 0.2)s. This expression indicates that the original price of the shoes, represented by 's,' is multiplied by (1 - 0.2), which calculates the price after a 20% discount has been applied.
The discount is the portion of the price that is reduced, so if we have a 20% discount, we represent this as 0.2 in decimal form. To find the final price after the discount, we subtract the discount from 1 (which represents the full price) and then multiply by the original price 's'. Therefore, the correct expression is (1 - 0.2)s or 0.8s, giving us the reduced price.
In this expression, 'c' represents the original cost of the shoes and 's' represents the discount rate. The term '1 - 0.2' represents the discount percentage, which is 20% off (assuming the discount is 20%). Therefore, multiplying this term with 's' gives us the amount of discount, and adding it to 'c' gives us the final cost after the discount.
For example, if the original cost of the shoes is $100 and the discount is 20%, then using the expression [c + (1 - 0.2)s], the cost after the discount would be $100 + (1 - 0.2) * $100 = $80.