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
Responses k = 17 k = 1 seventh k = −17 k = negative 1 seventh k = -7 k = -7 k = 7
To determine the constant of proportionality (k), we can choose two points from the table to calculate. Let's take the first two points:
x₁ = 9, y₁ = 63
x₂ = 4, y₂ = 28
k = (y₂ - y₁) / (x₂ - x₁)
k = (28 - 63) / (4 - 9)
k = (-35) / (-5)
k = 7
Therefore, the constant of proportionality is 7, and the relationship between y and x is y = 7x.