Inequalities are used to relate unequal expressions.
The graph that represents the scenario is graph (b)
From the question, we have:
- x represents vanilla cakes
- y represents chocolate cakes
At most 15 cakes are needed means that:
[tex]\mathbf{x + y \le 15}[/tex]
Not more than 11 chocolate cakes are needed means that:
[tex]\mathbf{y \le 11}[/tex]
Hence, the inequalities are:
[tex]\mathbf{x + y \le 15}[/tex] and [tex]\mathbf{y \le 11}[/tex]
The graph of the above inequalities is represented on graph (b)
Read more about inequalities at:
https://brainly.com/question/17113339