Final answer:
The correct equation to determine the ounces of juice in each cup is 42 = 4x + 2, representing 4 cups of juice with x ounces in each cup and 2 ounces leftover.
Step-by-step explanation:
The question asks us to find the equation that can be used to determine how many ounces of juice were poured into each cup, if a total of 42 ounces of juice are split among 4 cups with 2 ounces leftover. The correct equation that represents this situation is 42 = 4x + 2, where x represents the number of ounces in each cup.
To set up the equation, we subtract the 2 leftover ounces from the total amount of juice which is 42 ounces, leaving us with 40 ounces to be divided equally among the 4 cups. So, each cup would contain x ounces of juice.
Since 4 cups are used, we multiply the amount in one cup (x) by the number of cups (4) and then add the leftover 2 ounces to match the total of 42 ounces. That gives us the equation 42 = 4x + 2.