Determine the constant of proportionality (k) for the table and write the relationship between y and x.
X 9 4 2 11
Y 63 28 14 77
To determine the constant of proportionality (k), we need to find the ratio of y to x for each pair of values and then find the average of those ratios.
For x = 9, y = 63, so y/x = 63/9 = 7
For x = 4, y = 28, so y/x = 28/4 = 7
For x = 2, y = 14, so y/x = 14/2 = 7
For x = 11, y = 77, so y/x = 77/11 = 7
Now, find the average of the ratios:
(7 + 7 + 7 + 7)/4 = 28/4 = 7
So, the constant of proportionality (k) for this table is 7.
The relationship between y and x is y = 7x.