To determine the maximum number of notebooks Cheryl can buy with her [tex]$56, we need to construct an inequality that relates the total cost of the notebooks to the amount of money she has.
1. Cheryl's total amount of money is $[/tex]56.
2. Each notebook costs [tex]$1.60.
3. Let \( n \) represent the number of notebooks Cheryl can buy.
The total cost of \( n \) notebooks is given by the product of the number of notebooks and the cost per notebook, which is \( 1.60 \times n \).
For Cheryl to stay within her budget, the total cost of the notebooks must be less than or equal to her total money:
\[ 1.60 \times n \leq 56 \]
Therefore, the inequality that represents the maximum number of notebooks Cheryl can buy with her $[/tex]56 is:
[tex]\[ 1.6 n \leq 56 \][/tex]
So, the correct answer is:
[tex]\[ 1.6 n \leq 56 \][/tex]
