Each of the following represents an inverse variation relationship. List the relationships in order from least to greatest based on constant of proportionality. mathbf(x) & mathbf(y) 1 & 6 3 & 2 6 & 1 12 & 0.5 [ equiv y=(2.5)/(x) ]

# ExplanationInverse variation describes a relationship where the product of two variables is constant. The general form of an inverse variation is , where is the constant of proportionality. To determine the constant of proportionality for each relationship given in the table, we can multiply each pair of and values.Let's calculate the constant of proportionality ( ) for each pair:1. For and , .2. For and , .3. For and , .4. For and , .The given equation suggests a constant of proportionality ( ) of , which is not directly represented in the table but is provided for comparison.# AnswerUpon calculating the constant of proportionality for each relationship in the table, we find that each pair yields the same constant, . Therefore, when listing the relationships based on the constant of proportionality, we observe that all the given relationships in the table have the same constant of proportionality, , which is greater than the constant provided in the equation. However, since the task is to list the relationships in order from least to greatest based on the constant of proportionality, and all provided relationships have the same constant ( ), which is greater than the constant provided in the equation ( ), the order based on the constant of proportionality from least to greatest is:1. The relationship represented by the equation with .2. All the relationships listed in the table, as they all have a constant of proportionality of .