Deondra has a loyalty card good for a $11 \%$ discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is $c$ , which expression does NOT represent the cost after the discount? $\newline$ $(1-0.11) c$ $\newline$ $c-0.11 c$ $\newline$ $11 c$ $\newline$ $1 c-0.11 c$

Full solution

Q. Deondra has a loyalty card good for a

11 \%

discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is

c

, which expression does NOT represent the cost after the discount?

\newline

(1-0.11) c

\newline

c-0.11 c

\newline

11 c

\newline

1 c-0.11 c

Understand the problem: Understand the problem. $\newline$ We need to find which expression does not correctly represent the cost after an $11\%$ discount is applied to the total cost $c$ .
Analyze given expressions: Analyze the given expressions to determine which one represents the cost after an $11\%$ discount. $\newline$ The correct expression for the cost after an $11\%$ discount would be the original cost minus $11\%$ of the original cost.
Evaluate first expression: Evaluate the first expression. $\newline$ $(1-0.11)c$ represents the original cost $c$ minus $11\%$ of $c$ , which is a correct representation of the discounted price.
Evaluate second expression: Evaluate the second expression. $c - 0.11c$ also represents the original cost $c$ minus $11\%$ of $c$ , which is another correct representation of the discounted price.
Evaluate third expression: Evaluate the third expression. $\newline$ $11c$ represents $11$ times the original cost, which is not a correct representation of the discounted price. This is an incorrect expression for the discount.
Evaluate fourth expression: Evaluate the fourth expression. $\newline$ $1c - 0.11c$ is essentially the same as the second expression, $c - 0.11c$ , and is a correct representation of the discounted price.