Step-by-step explanation:
We are told that the music club is having a bake sale as a fundraiser. They sell x brownies at $5 each and y cookies at $8 each. They will sell at least 26 brownies and 15 cookies.
We can represent this information as:
[tex]x\geq 26[/tex]
[tex]y\geq 15[/tex]
They need to make at least $250. We can represent this information as:
[tex]5x+8y\geq 250[/tex]
Therefore, our system of inequalities will be:
[tex]x\geq 26[/tex]
[tex]y\geq 15[/tex]
[tex]5x+8y\geq 250[/tex].