To determine which equation models the purchases Hanna made with \[tex]$43.92, we need to formulate an equation based on the costs of socks and blouses and the total amount spent.
1. Identify the costs:
- Each pair of socks costs \$[/tex]2.99.
- Each blouse costs \[tex]$12.99.
2. Let \( x \) represent the number of pairs of socks purchased.
3. Let \( y \) represent the number of blouses purchased.
4. Create an equation that represents the total cost:
- The cost for \( x \) pairs of socks is \( 2.99x \).
- The cost for \( y \) blouses is \( 12.99y \).
- The total spending is \$[/tex]43.92.
Using these pieces of information, we can combine the costs to form the correct equation:
[tex]\[ 2.99x + 12.99y = 43.92 \][/tex]
Therefore, the equation that models Hanna's purchases is:
[tex]\[ 2.99x + 12.99y = 43.92 \][/tex]
