Answer:
To write an inequality that represents Nadia's situation, we need to consider the minimum amount of money she wants to save ($192) and the profit she makes from selling scarves and hats. Let's start by assigning variables to the number of scarves and hats Nadia sells. We'll use X to represent the number of scarves and Y to represent the number of hats. Since Nadia makes a profit of $12 on each scarf and $20 on each hat, the total profit from selling scarves will be 12X, and the total profit from selling hats will be 20Y. To find the total profit, we need to add the profit from selling scarves and the profit from selling hats: Total profit = 12X + 20Y The inequality we need to write represents the fact that the total profit should be greater than or equal to the minimum amount Nadia wants to save ($192). Therefore, the inequality that represents the situation is: 12X + 20Y ≥ 192 In this inequality, X represents the number of scarves Nadia sells, and Y represents the number of hats she sells. The inequality ensures that the total profit from selling scarves and hats is greater than or equal to $192.
Explanation: