Determine the constant of proportionality (k) for the table and write the relationship between y and x. (1 point)
x, 9, 4, 2, 11
y, 63, 28, 14, 77
a. k = 1/7
b. k = - 1/7
c. k= -7
d. k = 7
To find the constant of proportionality (k), we can take the ratio of y to x for each pair of values:
For x=9, y=63: k = 63/9 = 7
For x=4, y=28: k = 28/4 = 7
For x=2, y=14: k = 14/2 = 7
For x=11, y=77: k = 77/11 ≈ 7
Since the ratio y/x is constant at 7 for all values, the correct answer is:
d. k = 7
The relationship between y and x is y = 7x.