Micaela has a loyalty card good for a 3% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is cc, which expression represents the cost after the discount?

1 answer

To calculate the total cost after applying a 3% discount to the initial cost \( cc \), you can follow these steps:

  1. Calculate the discount amount: \[ \text{Discount amount} = 3% \text{ of } cc = 0.03 \times cc \]

  2. Subtract the discount from the original cost \( cc \): \[ \text{Cost after discount} = cc - \text{Discount amount} = cc - (0.03 \times cc) \]

  3. Factor out \( cc \): \[ \text{Cost after discount} = cc (1 - 0.03) = cc \times 0.97 \]

Thus, the expression representing the cost after the discount is: \[ 0.97 \times cc \]