Final answer:
The equation that represents the situation is 31/16 = 4x. The correct answer is A. 8x + 5 = 4.
Step-by-step explanation:
The question is asking for the equation that represents the situation. Elena has an 8-foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long and cuts the remainder into four pieces of equal length. Let's break it down:
The length of the piece Elena cuts off is 1/4 of a foot, so we can represent it as 1/4. The remainder of the ribbon is 8 - 1/4 = 31/4 feet long. Elena cuts this remainder into four equal pieces, so each piece will be (31/4)/(4) = 31/16 feet long.
To represent this situation with an equation, we can let x be the length of each of the four equal pieces. The equation would be: 31/16 = 4x
The correct equation that represents the situation is 31/16 = 4x. Therefore, the answer is A. 8x + 5 = 4.