To represent the number of batches of cookies and cakes that Jason can make, we need to set up an equation based on the quantity of chocolate chips he has and how much each batch of cookies and cake requires.
Let \( c \) be the number of batches of cookies, and \( k \) be the number of cakes. The requirements for chocolate chips are as follows:
- Each batch of cookies requires \( \frac{1}{2} \) cup of chocolate chips.
- Each cake requires \( \frac{3}{4} \) cup of chocolate chips.
Since Jason has 6 cups of chocolate chips, the total amount of chocolate chips used for \( c \) batches of cookies and \( k \) cakes can be expressed as:
\[ \frac{1}{2}c + \frac{3}{4}k \leq 6 \]
To eliminate the fractions, we can multiply the entire inequality by 4, which gives us:
\[ 2c + 3k \leq 24 \]
This inequality represents the combinations of batches of cookies and cakes that Jason can make with the 6 cups of chocolate chips he has.
None of the labels W, X, Y, or Z were provided details on the options. If you provide those options, I can help determine which one corresponds to the inequality \( 2c + 3k \leq 24 \).
1 answer