Mamadou has a loyalty card good for a 16% discount at his local pharmacy. If the total cost, before tax and discount, of all the items he wants to buy is c, which expression does NOT represent the cost after the discount? 0.984 c c-0.16 c 1c-0.16 c (1-0.16)c

Question

Mamadou has a loyalty card good for a  16% discount at his local pharmacy. If the total cost, before tax and discount, of all the items he wants to buy is  c, which expression does NOT represent the cost after the discount?  0.984 c  c-0.16 c  1c-0.16 c  (1-0.16)c

Bytelearn · Accepted Answer

Understand Discount Calculation: First, let's understand what a 16% discount means in terms of an expression. A 16% discount off the total cost c means we are subtracting 16% of c from c itself.Calculate 16% of Total Cost: To calculate 16% of c, we multiply c by 0.16. Calculation: 0.16 * cSubtract Discount from Total Cost: Now, let's subtract this value from the original cost c to find the cost after the discount. Calculation: c - (0.16 * c)Simplify Expression: We can simplify the expression by factoring out c. Calculation: c * (1 - 0.16)Examine Given Expressions: The simplified expression for the cost after the discount is c * (1 - 0.16) or c * 0.84.Compare Expressions to 0.84: Now let's examine the given expressions to see which one does NOT represent the cost after the discount: 1. 0.984 c 2. c - 0.16 c 3. 1c - 0.16 c 4. (1 - 0.16)c  We know that the correct expression should be equivalent to c * 0.84.Let's compare each expression to c * 0.84: 1. 0.984 c is equivalent to c * 0.984, which is not the same as c * 0.84. 2. c - 0.16 c simplifies to c * (1 - 0.16), which is c * 0.84. 3. 1c - 0.16 c simplifies to c * (1 - 0.16), which is c * 0.84. 4. (1 - 0.16)c simplifies to c * (1 - 0.16), which is c * 0.84.  The expression that does NOT represent the cost after the discount is 0.984 c.

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