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 value that relates the two variables in a proportional relationship. In this case, the table shows a relationship between x and y. To find the constant of proportionality, we can divide the y-values by the x-values.
For the first row:
-9 / 3 = -3
For the second row:
-15 / 5 = -3
For the third row:
-21 / 7 = -3
From the calculations, we can see that regardless of the x-value, the ratio of y to x is always -3. Therefore, the constant of proportionality is -3.
the number that relates the two variables in a proportional relationship. To find the constant of proportionality, you need to compare the ratios between the values of the variables.
In this case, you have a table with two columns: x and y. To determine the constant of proportionality, you need to compare the ratio of the values of y to the values of x.
Looking at the first row, you have x = 3 and y = -9. The ratio of y to x is -9/3 = -3.
Doing the same for the other rows, you find:
- For the second row, x = 5 and y = -15. The ratio of y to x is -15/5 = -3.
- For the third row, x = 7 and y = -21. The ratio of y to x is -21/7 = -3.
Since the ratio of y to x is the same (-3) for all the rows, the constant of proportionality is -3.