Use the table to answer the question.%0D%0A%0D%0Ax%0D%0A%0D%0Ay%0D%0A%0D%0A3%09−9%0D%0A5%09−15%0D%0A7%09−21%0D%0AGiven the table of values, identify the constant of proportionality.%0D%0A%0D%0A(1 point)%0D%0AThe constant of proportionality is
-3.
To identify the constant of proportionality from the table, we need to look for a consistent relationship between the values of x and y.
From the table, we can see that for each increase in x by 2, y decreases by 6. This means that the change in y is always three times the change in x.
Therefore, the constant of proportionality is 3.
To identify the constant of proportionality from the given table of values, we need to check if the ratios between the x-values and the y-values are constant.
Let's calculate the ratios for each row:
For the first row (x = 3, y = -9): ratio = y / x = -9 / 3 = -3
For the second row (x = 5, y = -15): ratio = y / x = -15 / 5 = -3
For the third row (x = 7, y = -21): ratio = y / x = -21 / 7 = -3
We can see that all the ratios are equal to -3. Therefore, the constant of proportionality is -3.