4x Anna is selling boxes of chocolate chip cookies (c) for 6 each and boxes of peanut butter cookies (b) for 7 each. She must sell at least 30 boxes of cookies and at least 175 worth of cookies. Which system of inequalities models this situation? A b+cgt 30 7b+6cgeqslant 175 B b+cgeqslant 30 6b+7cgeqslant 175 C b+cgeqslant 30 7b+6cgeqslant 175 D b+cleqslant 30 7b+6cleqslant 175

To determine the correct system of inequalities that models the situation, let's analyze the given conditions:

1. Anna must sell at least 30 boxes of cookies.
2. She must sell at least $175 worth of cookies.

Let $b$ represent the number of boxes of peanut butter cookies, and $c$ represent the number of boxes of chocolate chip cookies.

The first condition translates to:
$$b + c \geq 30$$

The second condition translates to:
$$7b + 6c \geq 175$$

Therefore, the correct system of inequalities is:
$$b + c \geq 30$$
$$7b + 6c \geq 175$$

So, the correct answer is:
C
$$b + c \geq 30$$
$$7b + 6c \geq 175$$