Final answer:
Without the specific equations and the tape diagram image, it's not possible to determine which equation does not match the diagram. A tape diagram problem typically involves equations that correspond to the proportions depicted in the diagram, and to provide an accurate answer, the actual visual and written content is needed for analysis.
Step-by-step explanation:
The question relates to a student's confusion about which equation does not match a given tape diagram. The content provided unfortunately lacks the specific equations and the image of the tape diagram needed to directly answer the question. Typically, in a tape diagram math problem, equations correspond to the proportions or relationships illustrated by the segments within the diagram.
To determine which equation does not match, one would compare the ratios or relationships depicted in the tape diagram against the equations written by Nick.
For example, if the diagram shows a segment divided into three equal parts and another divided into four equal parts, equations should reflect these proportional relationships, such as 3x = 4y, where x and y represent the lengths of segments in each part. If an equation does not represent the visual proportions, it would be the one that does not match the diagram.
To provide a proper answer, visuals of the tape diagram and Nick's four equations would be required. Without them, the response to the question would be speculative.
Therefore, it's important to view the actual tape diagram and the list of equations to analyze their compatibility. If this information is provided, a step-by-step analysis can be offered to determine which equation is not consistent with the visual information.