x y
3 −9
5 −15
7 −21
Given the table of values, identify the constant of proportionality. (1 point)
The constant of proportionality is
3
the ratio between the two variables in a proportional relationship. To find the constant of proportionality, we can compare the values of x and y.
In this case, if we divide y by x for each pair of values, we get:
(-9) / 3 = -3
(-15) / 5 = -3
(-21) / 7 = -3
We can see that the values of y/x are consistent and equal to -3.
Therefore, the constant of proportionality is -3.
the value by which y changes in proportion to x. To find the constant of proportionality, we need to examine how y changes with respect to x in the table of values.
To do this, we can calculate the ratio of y to x in each row and see if there is a consistent value. Let's calculate the ratios:
For the first row: y/x = -9/3 = -3
For the second row: y/x = -15/5 = -3
For the third row: y/x = -21/7 = -3
We can see that the ratio of y to x is -3 in each row. Therefore, the constant of proportionality is -3.