Jamar has a loyalty card good for a 5% discount at his local hardware store. 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?1c−0.05c0.05cc−0.05c0.95c
Q. Jamar has a loyalty card good for a 5% discount at his local hardware store. 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?1c−0.05c0.05cc−0.05c0.95c
Discount Calculation: A 5% discount on the total cost c can be represented as c−(0.05×c). This is because you are taking 5% of the total cost away from the original cost.
Simplification of Expression: The expression 1c−0.05c simplifies to c−0.05c, which correctly represents the cost after a 5% discount.
Representation of Discount Amount: The expression 0.05c represents just the amount of the discount, not the total cost after the discount has been applied.
Final Cost Calculation: The expression c−0.05c also simplifies to 0.95c, which correctly represents the cost after a 5% discount.
Correct Representation of Cost: The expression 0.95c represents the cost after the discount, as it is equivalent to c−0.05c.
Incorrect Representation of Cost: Since the expression 0.05c only represents the amount of the discount and not the total cost after the discount, it does NOT represent the cost after the discount. Therefore, the expression that does NOT represent the cost after the discount is 0.05c.
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