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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-0.05 c

0.05 c

c-0.05 c

0.95 c

Jamar has a loyalty card good for a 5% 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 c , which expression does NOT represent the cost after the discount?\newline1c0.05c 1 c-0.05 c \newline0.05c 0.05 c \newlinec0.05c c-0.05 c \newline0.95c 0.95 c

Full solution

Q. Jamar has a loyalty card good for a 5% 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 c , which expression does NOT represent the cost after the discount?\newline1c0.05c 1 c-0.05 c \newline0.05c 0.05 c \newlinec0.05c c-0.05 c \newline0.95c 0.95 c
  1. Discount Calculation: A 5%5\% discount on the total cost cc can be represented as c(0.05×c)c - (0.05 \times c). This is because you are taking 5%5\% of the total cost away from the original cost.
  2. Simplification of Expression: The expression 1c0.05c1c - 0.05c simplifies to c0.05cc - 0.05c, which correctly represents the cost after a 5%5\% discount.
  3. Representation of Discount Amount: The expression 0.05c0.05c represents just the amount of the discount, not the total cost after the discount has been applied.
  4. Final Cost Calculation: The expression c0.05cc - 0.05c also simplifies to 0.95c0.95c, which correctly represents the cost after a 5%5\% discount.
  5. Correct Representation of Cost: The expression 0.95c0.95c represents the cost after the discount, as it is equivalent to c0.05cc - 0.05c.
  6. Incorrect Representation of Cost: Since the expression 0.05c0.05c 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 0.05c0.05c.

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