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?(1−0.11)cc−0.11c11c1c−0.11c
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?(1−0.11)cc−0.11c11c1c−0.11c
Understand the problem: Understand the problem.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.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.(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. 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.1c−0.11c is essentially the same as the second expression, c−0.11c, and is a correct representation of the discounted price.