Use the table to answer the question.
x 11 13 14
y 44 52 56
What is the constant of proportionality for the proportional relationship represented in the table?
To find the constant of proportionality for the proportional relationship represented in the table, we need to examine the ratios of the corresponding x and y values.
Let's pick any two pairs of x and y values from the table. For example, we can choose (11, 44) and (14, 56).
For the first pair, the ratio of the x and y values is 11/44 = 0.25.
For the second pair, the ratio is 14/56 = 0.25 as well.
The fact that both ratios are equal indicates that this relationship is proportional. In other words, for each value of x, the value of y is obtained by multiplying x by a constant factor.
Since the ratio remains constant at 0.25 for each pair of values, we can conclude that the constant of proportionality for the given table is 0.25.